5(m+2)+(m+1)=40

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Solution for 5(m+2)+(m+1)=40 equation:


Simplifying
5(m + 2) + (m + 1) = 40

Reorder the terms:
5(2 + m) + (m + 1) = 40
(2 * 5 + m * 5) + (m + 1) = 40
(10 + 5m) + (m + 1) = 40

Reorder the terms:
10 + 5m + (1 + m) = 40

Remove parenthesis around (1 + m)
10 + 5m + 1 + m = 40

Reorder the terms:
10 + 1 + 5m + m = 40

Combine like terms: 10 + 1 = 11
11 + 5m + m = 40

Combine like terms: 5m + m = 6m
11 + 6m = 40

Solving
11 + 6m = 40

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + 6m = 40 + -11

Combine like terms: 11 + -11 = 0
0 + 6m = 40 + -11
6m = 40 + -11

Combine like terms: 40 + -11 = 29
6m = 29

Divide each side by '6'.
m = 4.833333333

Simplifying
m = 4.833333333

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