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Simplifying -4(m + 3) + 3(7m + 9) = 16(m + 1) + -10 Reorder the terms: -4(3 + m) + 3(7m + 9) = 16(m + 1) + -10 (3 * -4 + m * -4) + 3(7m + 9) = 16(m + 1) + -10 (-12 + -4m) + 3(7m + 9) = 16(m + 1) + -10 Reorder the terms: -12 + -4m + 3(9 + 7m) = 16(m + 1) + -10 -12 + -4m + (9 * 3 + 7m * 3) = 16(m + 1) + -10 -12 + -4m + (27 + 21m) = 16(m + 1) + -10 Reorder the terms: -12 + 27 + -4m + 21m = 16(m + 1) + -10 Combine like terms: -12 + 27 = 15 15 + -4m + 21m = 16(m + 1) + -10 Combine like terms: -4m + 21m = 17m 15 + 17m = 16(m + 1) + -10 Reorder the terms: 15 + 17m = 16(1 + m) + -10 15 + 17m = (1 * 16 + m * 16) + -10 15 + 17m = (16 + 16m) + -10 Reorder the terms: 15 + 17m = 16 + -10 + 16m Combine like terms: 16 + -10 = 6 15 + 17m = 6 + 16m Solving 15 + 17m = 6 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 15 + 17m + -16m = 6 + 16m + -16m Combine like terms: 17m + -16m = 1m 15 + 1m = 6 + 16m + -16m Combine like terms: 16m + -16m = 0 15 + 1m = 6 + 0 15 + 1m = 6 Add '-15' to each side of the equation. 15 + -15 + 1m = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1m = 6 + -15 1m = 6 + -15 Combine like terms: 6 + -15 = -9 1m = -9 Divide each side by '1'. m = -9 Simplifying m = -9
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