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Simplifying 7(m + -1) + 20 = 5(m + 3) + -15 Reorder the terms: 7(-1 + m) + 20 = 5(m + 3) + -15 (-1 * 7 + m * 7) + 20 = 5(m + 3) + -15 (-7 + 7m) + 20 = 5(m + 3) + -15 Reorder the terms: -7 + 20 + 7m = 5(m + 3) + -15 Combine like terms: -7 + 20 = 13 13 + 7m = 5(m + 3) + -15 Reorder the terms: 13 + 7m = 5(3 + m) + -15 13 + 7m = (3 * 5 + m * 5) + -15 13 + 7m = (15 + 5m) + -15 Reorder the terms: 13 + 7m = 15 + -15 + 5m Combine like terms: 15 + -15 = 0 13 + 7m = 0 + 5m 13 + 7m = 5m Solving 13 + 7m = 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. 13 + 7m + -5m = 5m + -5m Combine like terms: 7m + -5m = 2m 13 + 2m = 5m + -5m Combine like terms: 5m + -5m = 0 13 + 2m = 0 Add '-13' to each side of the equation. 13 + -13 + 2m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2m = 0 + -13 2m = 0 + -13 Combine like terms: 0 + -13 = -13 2m = -13 Divide each side by '2'. m = -6.5 Simplifying m = -6.5
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