solve the equation

78= -2(m+3)+ m

Get rid of parenthesis.

78 = -2m - 6 + m

Combine like terms and then add 6 to both sides.

84 = -m

Multiply both sides by -1.

To solve the equation 78 = -2(m+3) + m, we need to isolate the variable "m" on one side of the equation.

Let's simplify the equation step by step:

First, distribute -2 to both terms inside the parentheses:
78 = -2m - 6 + m

Next, combine like terms:
78 = -m - 6

Now, let's isolate the variable "m" by moving the constants to the other side of the equation. To do this, we will add 6 to both sides:
78 + 6 = -m - 6 + 6
84 = -m

Next, let's isolate "m" by multiplying both sides by -1. Remember that when you multiply both sides of an equation by a negative number, the inequality sign switches direction:
-1 * 84 = -1 * -m
-84 = m

Therefore, the solution to the equation 78 = -2(m+3) + m is m = -84.