7(2m-1)+22(3m+10)=93

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Solution for 7(2m-1)+22(3m+10)=93 equation:


Simplifying
7(2m + -1) + 22(3m + 10) = 93

Reorder the terms:
7(-1 + 2m) + 22(3m + 10) = 93
(-1 * 7 + 2m * 7) + 22(3m + 10) = 93
(-7 + 14m) + 22(3m + 10) = 93

Reorder the terms:
-7 + 14m + 22(10 + 3m) = 93
-7 + 14m + (10 * 22 + 3m * 22) = 93
-7 + 14m + (220 + 66m) = 93

Reorder the terms:
-7 + 220 + 14m + 66m = 93

Combine like terms: -7 + 220 = 213
213 + 14m + 66m = 93

Combine like terms: 14m + 66m = 80m
213 + 80m = 93

Solving
213 + 80m = 93

Solving for variable 'm'.

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

Add '-213' to each side of the equation.
213 + -213 + 80m = 93 + -213

Combine like terms: 213 + -213 = 0
0 + 80m = 93 + -213
80m = 93 + -213

Combine like terms: 93 + -213 = -120
80m = -120

Divide each side by '80'.
m = -1.5

Simplifying
m = -1.5

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