5(m+1)=(6m+1)

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Solution for 5(m+1)=(6m+1) equation:


Simplifying
5(m + 1) = (6m + 1)

Reorder the terms:
5(1 + m) = (6m + 1)
(1 * 5 + m * 5) = (6m + 1)
(5 + 5m) = (6m + 1)

Reorder the terms:
5 + 5m = (1 + 6m)

Remove parenthesis around (1 + 6m)
5 + 5m = 1 + 6m

Solving
5 + 5m = 1 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
5 + 5m + -6m = 1 + 6m + -6m

Combine like terms: 5m + -6m = -1m
5 + -1m = 1 + 6m + -6m

Combine like terms: 6m + -6m = 0
5 + -1m = 1 + 0
5 + -1m = 1

Add '-5' to each side of the equation.
5 + -5 + -1m = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 1 + -5
-1m = 1 + -5

Combine like terms: 1 + -5 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4

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