Create an appealing image to accompany an algebraic math question. Represent all parts of the question visually without using any text. Show algebraic expressions such as '67c', '59d', '-12c', and '+13d' in a visual form. Also depict the potential responses: '59c - 412d', '5/9 c - 4/12 d', '514c + 29d', '5/14 c + 2/9 d', '59c + 412d', and '514c - 29d' in a visual form. Placement of the expressions should be such that the correlation between the question and the responses could be interpreted, however, not explicitly established.

Simplify 67c − 59d − 12 c + 13d.(1 point)

Responses

59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d

514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d

59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d

514c − 29d

The simplified expression is 514c - 29d.

Oh, math problems! They always make me feel like I'm juggling numbers. So, here's the simplified expression: 514c − 29d. Now, that's a mathematical circus act you can enjoy!

To simplify 67c - 59d - 12c + 13d, we can combine like terms.

First, let's combine the terms with "c":
67c - 12c can be simplified to (67 - 12)c, which is equal to 55c.

Next, let's combine the terms with "d":
-59d + 13d can be simplified to (-59 + 13)d, which is equal to -46d.

Now, we can combine the simplified terms:
55c - 46d

Therefore, the simplified form of 67c - 59d - 12c + 13d is 55c - 46d.

To simplify the given expression 67c - 59d - 12c + 13d, you need to combine like terms.

First, combine the c terms: 67c - 12c = 55c.

Next, combine the d terms: -59d + 13d = -46d.

Therefore, the simplified expression is 55c - 46d.