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Simplifying 18m + 32(3m + -5) = 9(16m + 76) + -34 Reorder the terms: 18m + 32(-5 + 3m) = 9(16m + 76) + -34 18m + (-5 * 32 + 3m * 32) = 9(16m + 76) + -34 18m + (-160 + 96m) = 9(16m + 76) + -34 Reorder the terms: -160 + 18m + 96m = 9(16m + 76) + -34 Combine like terms: 18m + 96m = 114m -160 + 114m = 9(16m + 76) + -34 Reorder the terms: -160 + 114m = 9(76 + 16m) + -34 -160 + 114m = (76 * 9 + 16m * 9) + -34 -160 + 114m = (684 + 144m) + -34 Reorder the terms: -160 + 114m = 684 + -34 + 144m Combine like terms: 684 + -34 = 650 -160 + 114m = 650 + 144m Solving -160 + 114m = 650 + 144m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-144m' to each side of the equation. -160 + 114m + -144m = 650 + 144m + -144m Combine like terms: 114m + -144m = -30m -160 + -30m = 650 + 144m + -144m Combine like terms: 144m + -144m = 0 -160 + -30m = 650 + 0 -160 + -30m = 650 Add '160' to each side of the equation. -160 + 160 + -30m = 650 + 160 Combine like terms: -160 + 160 = 0 0 + -30m = 650 + 160 -30m = 650 + 160 Combine like terms: 650 + 160 = 810 -30m = 810 Divide each side by '-30'. m = -27 Simplifying m = -27
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