simplify 10(-3a+3b-3c)-8(4a-6b+3c)
10(-3a+3b-3c)-8(4a-6b+3c)
-30a + 30b - 30c - 32a + 48b - 24c
-62a + 78b - 54c
To simplify the expression 10(-3a + 3b - 3c) - 8(4a - 6b + 3c), you need to distribute the numbers outside the parentheses to every term inside the parentheses. Here's how you can do that step-by-step:
Step 1: Distribute the number 10 to every term inside the first set of parentheses (-3a + 3b - 3c).
10(-3a + 3b - 3c) = -30a + 30b - 30c
Step 2: Distribute the number -8 to every term inside the second set of parentheses (4a - 6b + 3c).
-8(4a - 6b + 3c) = -32a + 48b - 24c
Step 3: Combine like terms. Add or subtract the coefficients of the same variables.
(-30a + 30b - 30c) - (-32a + 48b - 24c) = -30a + 30b - 30c + 32a - 48b + 24c
Step 4: Combine like terms again. Add or subtract the coefficients of the same variables.
-30a + 32a + 30b - 48b - 30c + 24c = (32a - 30a) + (30b - 48b) + (-30c + 24c)
Finally, simplify each group of like terms:
2a - 18b - 6c
Therefore, the simplified expression is 2a - 18b - 6c.