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Simplifying -5(m + 7) + 2 = 9 + -8m Reorder the terms: -5(7 + m) + 2 = 9 + -8m (7 * -5 + m * -5) + 2 = 9 + -8m (-35 + -5m) + 2 = 9 + -8m Reorder the terms: -35 + 2 + -5m = 9 + -8m Combine like terms: -35 + 2 = -33 -33 + -5m = 9 + -8m Solving -33 + -5m = 9 + -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. -33 + -5m + 8m = 9 + -8m + 8m Combine like terms: -5m + 8m = 3m -33 + 3m = 9 + -8m + 8m Combine like terms: -8m + 8m = 0 -33 + 3m = 9 + 0 -33 + 3m = 9 Add '33' to each side of the equation. -33 + 33 + 3m = 9 + 33 Combine like terms: -33 + 33 = 0 0 + 3m = 9 + 33 3m = 9 + 33 Combine like terms: 9 + 33 = 42 3m = 42 Divide each side by '3'. m = 14 Simplifying m = 14
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