–2(m – 30) = –6m
–2(m – 30) = –6m
-2m + 60 = -6m
6m - 2m = -60
4m = -60
m = -60/4
m = ?
the answer is -15
To solve the equation -2(m - 30) = -6m, we can follow these steps:
Step 1: Distribute the -2 to both terms inside the parentheses:
-2 * m = -2m
-2 * -30 = 60
So, the equation becomes:
-2m + 60 = -6m
Step 2: Simplify the equation by combining like terms. In this case, combine the terms with 'm' on the left side of the equation:
-2m + 60 = -6m
To eliminate the -2m on the left side, we can subtract -2m from both sides of the equation:
-2m + 2m + 60 = -6m + 2m
This simplifies to:
60 = -4m
Step 3: Solve for 'm' by isolating the variable. To do this, divide both sides of the equation by -4:
60 / -4 = -4m / -4
-15 = m
So, the solution to the equation -2(m - 30) = -6m is m = -15.