61=7(1+8m)-(m+1)

Solution for 61=7(1+8m)-(m+1) equation:

Simplifying
61 = 7(1 + 8m) + -1(m + 1)
61 = (1 * 7 + 8m * 7) + -1(m + 1)
61 = (7 + 56m) + -1(m + 1)

Reorder the terms:
61 = 7 + 56m + -1(1 + m)
61 = 7 + 56m + (1 * -1 + m * -1)
61 = 7 + 56m + (-1 + -1m)

Reorder the terms:
61 = 7 + -1 + 56m + -1m

Combine like terms: 7 + -1 = 6
61 = 6 + 56m + -1m

Combine like terms: 56m + -1m = 55m
61 = 6 + 55m

Solving
61 = 6 + 55m

Solving for variable 'm'.

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

Add '-55m' to each side of the equation.
61 + -55m = 6 + 55m + -55m

Combine like terms: 55m + -55m = 0
61 + -55m = 6 + 0
61 + -55m = 6

Add '-61' to each side of the equation.
61 + -61 + -55m = 6 + -61

Combine like terms: 61 + -61 = 0
0 + -55m = 6 + -61
-55m = 6 + -61

Combine like terms: 6 + -61 = -55
-55m = -55

Divide each side by '-55'.
m = 1

Simplifying
m = 1