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Simplifying M + 5 + m = -10 + 3m + -5 + 4m Reorder the terms: 5 + M + m = -10 + 3m + -5 + 4m Reorder the terms: 5 + M + m = -10 + -5 + 3m + 4m Combine like terms: -10 + -5 = -15 5 + M + m = -15 + 3m + 4m Combine like terms: 3m + 4m = 7m 5 + M + m = -15 + 7m Solving 5 + M + m = -15 + 7m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + M + -5 + m = -15 + -5 + 7m Reorder the terms: 5 + -5 + M + m = -15 + -5 + 7m Combine like terms: 5 + -5 = 0 0 + M + m = -15 + -5 + 7m M + m = -15 + -5 + 7m Combine like terms: -15 + -5 = -20 M + m = -20 + 7m Add '-1m' to each side of the equation. M + m + -1m = -20 + 7m + -1m Combine like terms: m + -1m = 0 M + 0 = -20 + 7m + -1m M = -20 + 7m + -1m Combine like terms: 7m + -1m = 6m M = -20 + 6m Simplifying M = -20 + 6m
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