17m-6(m+3)=17m-3m+5

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Solution for 17m-6(m+3)=17m-3m+5 equation:


Simplifying
17m + -6(m + 3) = 17m + -3m + 5

Reorder the terms:
17m + -6(3 + m) = 17m + -3m + 5
17m + (3 * -6 + m * -6) = 17m + -3m + 5
17m + (-18 + -6m) = 17m + -3m + 5

Reorder the terms:
-18 + 17m + -6m = 17m + -3m + 5

Combine like terms: 17m + -6m = 11m
-18 + 11m = 17m + -3m + 5

Reorder the terms:
-18 + 11m = 5 + 17m + -3m

Combine like terms: 17m + -3m = 14m
-18 + 11m = 5 + 14m

Solving
-18 + 11m = 5 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
-18 + 11m + -14m = 5 + 14m + -14m

Combine like terms: 11m + -14m = -3m
-18 + -3m = 5 + 14m + -14m

Combine like terms: 14m + -14m = 0
-18 + -3m = 5 + 0
-18 + -3m = 5

Add '18' to each side of the equation.
-18 + 18 + -3m = 5 + 18

Combine like terms: -18 + 18 = 0
0 + -3m = 5 + 18
-3m = 5 + 18

Combine like terms: 5 + 18 = 23
-3m = 23

Divide each side by '-3'.
m = -7.666666667

Simplifying
m = -7.666666667

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