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Simplifying 3m + -5 = 7m + m + -15 Reorder the terms: -5 + 3m = 7m + m + -15 Reorder the terms: -5 + 3m = -15 + 7m + m Combine like terms: 7m + m = 8m -5 + 3m = -15 + 8m Solving -5 + 3m = -15 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -5 + 3m + -8m = -15 + 8m + -8m Combine like terms: 3m + -8m = -5m -5 + -5m = -15 + 8m + -8m Combine like terms: 8m + -8m = 0 -5 + -5m = -15 + 0 -5 + -5m = -15 Add '5' to each side of the equation. -5 + 5 + -5m = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -5m = -15 + 5 -5m = -15 + 5 Combine like terms: -15 + 5 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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