15(m-4)-2(m-9)+5(m+6)=0

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Solution for 15(m-4)-2(m-9)+5(m+6)=0 equation:


Simplifying
15(m + -4) + -2(m + -9) + 5(m + 6) = 0

Reorder the terms:
15(-4 + m) + -2(m + -9) + 5(m + 6) = 0
(-4 * 15 + m * 15) + -2(m + -9) + 5(m + 6) = 0
(-60 + 15m) + -2(m + -9) + 5(m + 6) = 0

Reorder the terms:
-60 + 15m + -2(-9 + m) + 5(m + 6) = 0
-60 + 15m + (-9 * -2 + m * -2) + 5(m + 6) = 0
-60 + 15m + (18 + -2m) + 5(m + 6) = 0

Reorder the terms:
-60 + 15m + 18 + -2m + 5(6 + m) = 0
-60 + 15m + 18 + -2m + (6 * 5 + m * 5) = 0
-60 + 15m + 18 + -2m + (30 + 5m) = 0

Reorder the terms:
-60 + 18 + 30 + 15m + -2m + 5m = 0

Combine like terms: -60 + 18 = -42
-42 + 30 + 15m + -2m + 5m = 0

Combine like terms: -42 + 30 = -12
-12 + 15m + -2m + 5m = 0

Combine like terms: 15m + -2m = 13m
-12 + 13m + 5m = 0

Combine like terms: 13m + 5m = 18m
-12 + 18m = 0

Solving
-12 + 18m = 0

Solving for variable 'm'.

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

Add '12' to each side of the equation.
-12 + 12 + 18m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 18m = 0 + 12
18m = 0 + 12

Combine like terms: 0 + 12 = 12
18m = 12

Divide each side by '18'.
m = 0.6666666667

Simplifying
m = 0.6666666667

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