6(m-7)-4(2m+9)+3(m-2)=

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Solution for 6(m-7)-4(2m+9)+3(m-2)= equation:


Simplifying
6(m + -7) + -4(2m + 9) + 3(m + -2) = 0

Reorder the terms:
6(-7 + m) + -4(2m + 9) + 3(m + -2) = 0
(-7 * 6 + m * 6) + -4(2m + 9) + 3(m + -2) = 0
(-42 + 6m) + -4(2m + 9) + 3(m + -2) = 0

Reorder the terms:
-42 + 6m + -4(9 + 2m) + 3(m + -2) = 0
-42 + 6m + (9 * -4 + 2m * -4) + 3(m + -2) = 0
-42 + 6m + (-36 + -8m) + 3(m + -2) = 0

Reorder the terms:
-42 + 6m + -36 + -8m + 3(-2 + m) = 0
-42 + 6m + -36 + -8m + (-2 * 3 + m * 3) = 0
-42 + 6m + -36 + -8m + (-6 + 3m) = 0

Reorder the terms:
-42 + -36 + -6 + 6m + -8m + 3m = 0

Combine like terms: -42 + -36 = -78
-78 + -6 + 6m + -8m + 3m = 0

Combine like terms: -78 + -6 = -84
-84 + 6m + -8m + 3m = 0

Combine like terms: 6m + -8m = -2m
-84 + -2m + 3m = 0

Combine like terms: -2m + 3m = 1m
-84 + 1m = 0

Solving
-84 + 1m = 0

Solving for variable 'm'.

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

Add '84' to each side of the equation.
-84 + 84 + 1m = 0 + 84

Combine like terms: -84 + 84 = 0
0 + 1m = 0 + 84
1m = 0 + 84

Combine like terms: 0 + 84 = 84
1m = 84

Divide each side by '1'.
m = 84

Simplifying
m = 84

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