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Simplifying 2m + 5 = 5(m + -7) + -8m Reorder the terms: 5 + 2m = 5(m + -7) + -8m Reorder the terms: 5 + 2m = 5(-7 + m) + -8m 5 + 2m = (-7 * 5 + m * 5) + -8m 5 + 2m = (-35 + 5m) + -8m Combine like terms: 5m + -8m = -3m 5 + 2m = -35 + -3m Solving 5 + 2m = -35 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 5 + 2m + 3m = -35 + -3m + 3m Combine like terms: 2m + 3m = 5m 5 + 5m = -35 + -3m + 3m Combine like terms: -3m + 3m = 0 5 + 5m = -35 + 0 5 + 5m = -35 Add '-5' to each side of the equation. 5 + -5 + 5m = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 5m = -35 + -5 5m = -35 + -5 Combine like terms: -35 + -5 = -40 5m = -40 Divide each side by '5'. m = -8 Simplifying m = -8
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