7(m-22)-6(5m-25)=42*1

Solution for 7(m-22)-6(5m-25)=42*1 equation:

Simplifying
7(m + -22) + -6(5m + -25) = 42 * 1

Reorder the terms:
7(-22 + m) + -6(5m + -25) = 42 * 1
(-22 * 7 + m * 7) + -6(5m + -25) = 42 * 1
(-154 + 7m) + -6(5m + -25) = 42 * 1

Reorder the terms:
-154 + 7m + -6(-25 + 5m) = 42 * 1
-154 + 7m + (-25 * -6 + 5m * -6) = 42 * 1
-154 + 7m + (150 + -30m) = 42 * 1

Reorder the terms:
-154 + 150 + 7m + -30m = 42 * 1

Combine like terms: -154 + 150 = -4
-4 + 7m + -30m = 42 * 1

Combine like terms: 7m + -30m = -23m
-4 + -23m = 42 * 1

Multiply 42 * 1
-4 + -23m = 42

Solving
-4 + -23m = 42

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -23m = 42 + 4

Combine like terms: -4 + 4 = 0
0 + -23m = 42 + 4
-23m = 42 + 4

Combine like terms: 42 + 4 = 46
-23m = 46

Divide each side by '-23'.
m = -2

Simplifying
m = -2