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Simplifying -15 + 8m = 3m + -7 + 4m Reorder the terms: -15 + 8m = -7 + 3m + 4m Combine like terms: 3m + 4m = 7m -15 + 8m = -7 + 7m Solving -15 + 8m = -7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -15 + 8m + -7m = -7 + 7m + -7m Combine like terms: 8m + -7m = 1m -15 + 1m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 -15 + 1m = -7 + 0 -15 + 1m = -7 Add '15' to each side of the equation. -15 + 15 + 1m = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = -7 + 15 1m = -7 + 15 Combine like terms: -7 + 15 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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