9(m-1)+3(4m-2)=20(m-2)+1

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Solution for 9(m-1)+3(4m-2)=20(m-2)+1 equation:


Simplifying
9(m + -1) + 3(4m + -2) = 20(m + -2) + 1

Reorder the terms:
9(-1 + m) + 3(4m + -2) = 20(m + -2) + 1
(-1 * 9 + m * 9) + 3(4m + -2) = 20(m + -2) + 1
(-9 + 9m) + 3(4m + -2) = 20(m + -2) + 1

Reorder the terms:
-9 + 9m + 3(-2 + 4m) = 20(m + -2) + 1
-9 + 9m + (-2 * 3 + 4m * 3) = 20(m + -2) + 1
-9 + 9m + (-6 + 12m) = 20(m + -2) + 1

Reorder the terms:
-9 + -6 + 9m + 12m = 20(m + -2) + 1

Combine like terms: -9 + -6 = -15
-15 + 9m + 12m = 20(m + -2) + 1

Combine like terms: 9m + 12m = 21m
-15 + 21m = 20(m + -2) + 1

Reorder the terms:
-15 + 21m = 20(-2 + m) + 1
-15 + 21m = (-2 * 20 + m * 20) + 1
-15 + 21m = (-40 + 20m) + 1

Reorder the terms:
-15 + 21m = -40 + 1 + 20m

Combine like terms: -40 + 1 = -39
-15 + 21m = -39 + 20m

Solving
-15 + 21m = -39 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
-15 + 21m + -20m = -39 + 20m + -20m

Combine like terms: 21m + -20m = 1m
-15 + 1m = -39 + 20m + -20m

Combine like terms: 20m + -20m = 0
-15 + 1m = -39 + 0
-15 + 1m = -39

Add '15' to each side of the equation.
-15 + 15 + 1m = -39 + 15

Combine like terms: -15 + 15 = 0
0 + 1m = -39 + 15
1m = -39 + 15

Combine like terms: -39 + 15 = -24
1m = -24

Divide each side by '1'.
m = -24

Simplifying
m = -24

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