Simplify the expression. 3 (-5x - 4) + 6
-15x - 12 + 6
To simplify the expression 3(-5x - 4) + 6, we will distribute the 3 to both terms inside the parentheses first.
3 multiplied by -5x is -15x.
3 multiplied by -4 is -12.
So the expression becomes -15x - 12 + 6.
Next, we combine the like terms -12 and 6.
-12 + 6 is -6.
Thus, the simplified expression is -15x - 6.
To simplify the expression 3(-5x - 4) + 6, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
Step 1: Start by distributing the 3 through the parentheses:
3 * -5x = -15x
3 * -4 = -12
So, the expression becomes:
-15x - 12 + 6
Step 2: Combine like terms:
-15x - 12 + 6 = -15x - 6
Therefore, the simplified expression is -15x - 6.