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Simplifying 5(m + -16) + 8 = 8(m + 7) + 7 Reorder the terms: 5(-16 + m) + 8 = 8(m + 7) + 7 (-16 * 5 + m * 5) + 8 = 8(m + 7) + 7 (-80 + 5m) + 8 = 8(m + 7) + 7 Reorder the terms: -80 + 8 + 5m = 8(m + 7) + 7 Combine like terms: -80 + 8 = -72 -72 + 5m = 8(m + 7) + 7 Reorder the terms: -72 + 5m = 8(7 + m) + 7 -72 + 5m = (7 * 8 + m * 8) + 7 -72 + 5m = (56 + 8m) + 7 Reorder the terms: -72 + 5m = 56 + 7 + 8m Combine like terms: 56 + 7 = 63 -72 + 5m = 63 + 8m Solving -72 + 5m = 63 + 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. -72 + 5m + -8m = 63 + 8m + -8m Combine like terms: 5m + -8m = -3m -72 + -3m = 63 + 8m + -8m Combine like terms: 8m + -8m = 0 -72 + -3m = 63 + 0 -72 + -3m = 63 Add '72' to each side of the equation. -72 + 72 + -3m = 63 + 72 Combine like terms: -72 + 72 = 0 0 + -3m = 63 + 72 -3m = 63 + 72 Combine like terms: 63 + 72 = 135 -3m = 135 Divide each side by '-3'. m = -45 Simplifying m = -45
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