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Simplifying (M + -9) + 6 = 4(m + -2) + -2(m + -6) Reorder the terms: (-9 + M) + 6 = 4(m + -2) + -2(m + -6) Remove parenthesis around (-9 + M) -9 + M + 6 = 4(m + -2) + -2(m + -6) Reorder the terms: -9 + 6 + M = 4(m + -2) + -2(m + -6) Combine like terms: -9 + 6 = -3 -3 + M = 4(m + -2) + -2(m + -6) Reorder the terms: -3 + M = 4(-2 + m) + -2(m + -6) -3 + M = (-2 * 4 + m * 4) + -2(m + -6) -3 + M = (-8 + 4m) + -2(m + -6) Reorder the terms: -3 + M = -8 + 4m + -2(-6 + m) -3 + M = -8 + 4m + (-6 * -2 + m * -2) -3 + M = -8 + 4m + (12 + -2m) Reorder the terms: -3 + M = -8 + 12 + 4m + -2m Combine like terms: -8 + 12 = 4 -3 + M = 4 + 4m + -2m Combine like terms: 4m + -2m = 2m -3 + M = 4 + 2m Solving -3 + M = 4 + 2m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + M = 4 + 3 + 2m Combine like terms: -3 + 3 = 0 0 + M = 4 + 3 + 2m M = 4 + 3 + 2m Combine like terms: 4 + 3 = 7 M = 7 + 2m Simplifying M = 7 + 2m
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