5(m-9)=13-4(10+m)

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Solution for 5(m-9)=13-4(10+m) equation:


Simplifying
5(m + -9) = 13 + -4(10 + m)

Reorder the terms:
5(-9 + m) = 13 + -4(10 + m)
(-9 * 5 + m * 5) = 13 + -4(10 + m)
(-45 + 5m) = 13 + -4(10 + m)
-45 + 5m = 13 + (10 * -4 + m * -4)
-45 + 5m = 13 + (-40 + -4m)

Combine like terms: 13 + -40 = -27
-45 + 5m = -27 + -4m

Solving
-45 + 5m = -27 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-45 + 5m + 4m = -27 + -4m + 4m

Combine like terms: 5m + 4m = 9m
-45 + 9m = -27 + -4m + 4m

Combine like terms: -4m + 4m = 0
-45 + 9m = -27 + 0
-45 + 9m = -27

Add '45' to each side of the equation.
-45 + 45 + 9m = -27 + 45

Combine like terms: -45 + 45 = 0
0 + 9m = -27 + 45
9m = -27 + 45

Combine like terms: -27 + 45 = 18
9m = 18

Divide each side by '9'.
m = 2

Simplifying
m = 2

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