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Simplifying -4(m + 3) + 3(7m + 9) = (m + 1) + -10 Reorder the terms: -4(3 + m) + 3(7m + 9) = (m + 1) + -10 (3 * -4 + m * -4) + 3(7m + 9) = (m + 1) + -10 (-12 + -4m) + 3(7m + 9) = (m + 1) + -10 Reorder the terms: -12 + -4m + 3(9 + 7m) = (m + 1) + -10 -12 + -4m + (9 * 3 + 7m * 3) = (m + 1) + -10 -12 + -4m + (27 + 21m) = (m + 1) + -10 Reorder the terms: -12 + 27 + -4m + 21m = (m + 1) + -10 Combine like terms: -12 + 27 = 15 15 + -4m + 21m = (m + 1) + -10 Combine like terms: -4m + 21m = 17m 15 + 17m = (m + 1) + -10 Reorder the terms: 15 + 17m = (1 + m) + -10 Remove parenthesis around (1 + m) 15 + 17m = 1 + m + -10 Reorder the terms: 15 + 17m = 1 + -10 + m Combine like terms: 1 + -10 = -9 15 + 17m = -9 + m Solving 15 + 17m = -9 + 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. 15 + 17m + -1m = -9 + m + -1m Combine like terms: 17m + -1m = 16m 15 + 16m = -9 + m + -1m Combine like terms: m + -1m = 0 15 + 16m = -9 + 0 15 + 16m = -9 Add '-15' to each side of the equation. 15 + -15 + 16m = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 16m = -9 + -15 16m = -9 + -15 Combine like terms: -9 + -15 = -24 16m = -24 Divide each side by '16'. m = -1.5 Simplifying m = -1.5
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