2m+(3n+1)*1=6+-8(1)

Solution for 2m+(3n+1)*1=6+-8(1) equation:

Simplifying
2m + (3n + 1) * 1 = 6 + -8(1)

Reorder the terms:
2m + (1 + 3n) * 1 = 6 + -8(1)

Reorder the terms for easier multiplication:
2m + 1(1 + 3n) = 6 + -8(1)
2m + (1 * 1 + 3n * 1) = 6 + -8(1)
2m + (1 + 3n) = 6 + -8(1)

Reorder the terms:
1 + 2m + 3n = 6 + -8(1)

Multiply -8 * 1
1 + 2m + 3n = 6 + -8

Combine like terms: 6 + -8 = -2
1 + 2m + 3n = -2

Solving
1 + 2m + 3n = -2

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + 2m + -1 + 3n = -2 + -1

Reorder the terms:
1 + -1 + 2m + 3n = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 2m + 3n = -2 + -1
2m + 3n = -2 + -1

Combine like terms: -2 + -1 = -3
2m + 3n = -3

Add '-3n' to each side of the equation.
2m + 3n + -3n = -3 + -3n

Combine like terms: 3n + -3n = 0
2m + 0 = -3 + -3n
2m = -3 + -3n

Divide each side by '2'.
m = -1.5 + -1.5n

Simplifying
m = -1.5 + -1.5n