-3m+19-4(m-2)=8m-(9m-8)-2m+3

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Solution for -3m+19-4(m-2)=8m-(9m-8)-2m+3 equation:


Simplifying
-3m + 19 + -4(m + -2) = 8m + -1(9m + -8) + -2m + 3

Reorder the terms:
-3m + 19 + -4(-2 + m) = 8m + -1(9m + -8) + -2m + 3
-3m + 19 + (-2 * -4 + m * -4) = 8m + -1(9m + -8) + -2m + 3
-3m + 19 + (8 + -4m) = 8m + -1(9m + -8) + -2m + 3

Reorder the terms:
19 + 8 + -3m + -4m = 8m + -1(9m + -8) + -2m + 3

Combine like terms: 19 + 8 = 27
27 + -3m + -4m = 8m + -1(9m + -8) + -2m + 3

Combine like terms: -3m + -4m = -7m
27 + -7m = 8m + -1(9m + -8) + -2m + 3

Reorder the terms:
27 + -7m = 8m + -1(-8 + 9m) + -2m + 3
27 + -7m = 8m + (-8 * -1 + 9m * -1) + -2m + 3
27 + -7m = 8m + (8 + -9m) + -2m + 3

Reorder the terms:
27 + -7m = 8 + 3 + 8m + -9m + -2m

Combine like terms: 8 + 3 = 11
27 + -7m = 11 + 8m + -9m + -2m

Combine like terms: 8m + -9m = -1m
27 + -7m = 11 + -1m + -2m

Combine like terms: -1m + -2m = -3m
27 + -7m = 11 + -3m

Solving
27 + -7m = 11 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
27 + -7m + 3m = 11 + -3m + 3m

Combine like terms: -7m + 3m = -4m
27 + -4m = 11 + -3m + 3m

Combine like terms: -3m + 3m = 0
27 + -4m = 11 + 0
27 + -4m = 11

Add '-27' to each side of the equation.
27 + -27 + -4m = 11 + -27

Combine like terms: 27 + -27 = 0
0 + -4m = 11 + -27
-4m = 11 + -27

Combine like terms: 11 + -27 = -16
-4m = -16

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

Simplifying
m = 4

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