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Simplifying 4(m + 9) = (m + -5) + 2 Reorder the terms: 4(9 + m) = (m + -5) + 2 (9 * 4 + m * 4) = (m + -5) + 2 (36 + 4m) = (m + -5) + 2 Reorder the terms: 36 + 4m = (-5 + m) + 2 Remove parenthesis around (-5 + m) 36 + 4m = -5 + m + 2 Reorder the terms: 36 + 4m = -5 + 2 + m Combine like terms: -5 + 2 = -3 36 + 4m = -3 + m Solving 36 + 4m = -3 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 36 + 4m + -1m = -3 + m + -1m Combine like terms: 4m + -1m = 3m 36 + 3m = -3 + m + -1m Combine like terms: m + -1m = 0 36 + 3m = -3 + 0 36 + 3m = -3 Add '-36' to each side of the equation. 36 + -36 + 3m = -3 + -36 Combine like terms: 36 + -36 = 0 0 + 3m = -3 + -36 3m = -3 + -36 Combine like terms: -3 + -36 = -39 3m = -39 Divide each side by '3'. m = -13 Simplifying m = -13
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