10+13=7(m+1)+3(m+2)

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Solution for 10+13=7(m+1)+3(m+2) equation: 


Simplifying
10 + 13 = 7(m + 1) + 3(m + 2)

Combine like terms: 10 + 13 = 23
23 = 7(m + 1) + 3(m + 2)

Reorder the terms:
23 = 7(1 + m) + 3(m + 2)
23 = (1 * 7 + m * 7) + 3(m + 2)
23 = (7 + 7m) + 3(m + 2)

Reorder the terms:
23 = 7 + 7m + 3(2 + m)
23 = 7 + 7m + (2 * 3 + m * 3)
23 = 7 + 7m + (6 + 3m)

Reorder the terms:
23 = 7 + 6 + 7m + 3m

Combine like terms: 7 + 6 = 13
23 = 13 + 7m + 3m

Combine like terms: 7m + 3m = 10m
23 = 13 + 10m

Solving
23 = 13 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
23 + -10m = 13 + 10m + -10m

Combine like terms: 10m + -10m = 0
23 + -10m = 13 + 0
23 + -10m = 13

Add '-23' to each side of the equation.
23 + -23 + -10m = 13 + -23

Combine like terms: 23 + -23 = 0
0 + -10m = 13 + -23
-10m = 13 + -23

Combine like terms: 13 + -23 = -10
-10m = -10

Divide each side by '-10'.
m = 1

Simplifying
m = 1

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