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Simplifying M + -1(5m + -12) = 22 + (6m + -30) Reorder the terms: M + -1(-12 + 5m) = 22 + (6m + -30) M + (-12 * -1 + 5m * -1) = 22 + (6m + -30) M + (12 + -5m) = 22 + (6m + -30) Reorder the terms: 12 + M + -5m = 22 + (6m + -30) Reorder the terms: 12 + M + -5m = 22 + (-30 + 6m) Remove parenthesis around (-30 + 6m) 12 + M + -5m = 22 + -30 + 6m Combine like terms: 22 + -30 = -8 12 + M + -5m = -8 + 6m Solving 12 + M + -5m = -8 + 6m 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 + M + -12 + -5m = -8 + -12 + 6m Reorder the terms: 12 + -12 + M + -5m = -8 + -12 + 6m Combine like terms: 12 + -12 = 0 0 + M + -5m = -8 + -12 + 6m M + -5m = -8 + -12 + 6m Combine like terms: -8 + -12 = -20 M + -5m = -20 + 6m Add '5m' to each side of the equation. M + -5m + 5m = -20 + 6m + 5m Combine like terms: -5m + 5m = 0 M + 0 = -20 + 6m + 5m M = -20 + 6m + 5m Combine like terms: 6m + 5m = 11m M = -20 + 11m Simplifying M = -20 + 11m
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