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Simplifying 2m + 5 = 5(m + -7) + -3 Reorder the terms: 5 + 2m = 5(m + -7) + -3 Reorder the terms: 5 + 2m = 5(-7 + m) + -3 5 + 2m = (-7 * 5 + m * 5) + -3 5 + 2m = (-35 + 5m) + -3 Reorder the terms: 5 + 2m = -35 + -3 + 5m Combine like terms: -35 + -3 = -38 5 + 2m = -38 + 5m Solving 5 + 2m = -38 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 5 + 2m + -5m = -38 + 5m + -5m Combine like terms: 2m + -5m = -3m 5 + -3m = -38 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -3m = -38 + 0 5 + -3m = -38 Add '-5' to each side of the equation. 5 + -5 + -3m = -38 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = -38 + -5 -3m = -38 + -5 Combine like terms: -38 + -5 = -43 -3m = -43 Divide each side by '-3'. m = 14.33333333 Simplifying m = 14.33333333
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