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Simplifying 7(m + -14) + 20 = 5(m + 3) + -15 Reorder the terms: 7(-14 + m) + 20 = 5(m + 3) + -15 (-14 * 7 + m * 7) + 20 = 5(m + 3) + -15 (-98 + 7m) + 20 = 5(m + 3) + -15 Reorder the terms: -98 + 20 + 7m = 5(m + 3) + -15 Combine like terms: -98 + 20 = -78 -78 + 7m = 5(m + 3) + -15 Reorder the terms: -78 + 7m = 5(3 + m) + -15 -78 + 7m = (3 * 5 + m * 5) + -15 -78 + 7m = (15 + 5m) + -15 Reorder the terms: -78 + 7m = 15 + -15 + 5m Combine like terms: 15 + -15 = 0 -78 + 7m = 0 + 5m -78 + 7m = 5m Solving -78 + 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. -78 + 7m + -5m = 5m + -5m Combine like terms: 7m + -5m = 2m -78 + 2m = 5m + -5m Combine like terms: 5m + -5m = 0 -78 + 2m = 0 Add '78' to each side of the equation. -78 + 78 + 2m = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 2m = 0 + 78 2m = 0 + 78 Combine like terms: 0 + 78 = 78 2m = 78 Divide each side by '2'. m = 39 Simplifying m = 39
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