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Simplifying 9(m + 3) + 4(6m + -8) = 32(m + -1) * 3 Reorder the terms: 9(3 + m) + 4(6m + -8) = 32(m + -1) * 3 (3 * 9 + m * 9) + 4(6m + -8) = 32(m + -1) * 3 (27 + 9m) + 4(6m + -8) = 32(m + -1) * 3 Reorder the terms: 27 + 9m + 4(-8 + 6m) = 32(m + -1) * 3 27 + 9m + (-8 * 4 + 6m * 4) = 32(m + -1) * 3 27 + 9m + (-32 + 24m) = 32(m + -1) * 3 Reorder the terms: 27 + -32 + 9m + 24m = 32(m + -1) * 3 Combine like terms: 27 + -32 = -5 -5 + 9m + 24m = 32(m + -1) * 3 Combine like terms: 9m + 24m = 33m -5 + 33m = 32(m + -1) * 3 Reorder the terms: -5 + 33m = 32(-1 + m) * 3 Reorder the terms for easier multiplication: -5 + 33m = 32 * 3(-1 + m) Multiply 32 * 3 -5 + 33m = 96(-1 + m) -5 + 33m = (-1 * 96 + m * 96) -5 + 33m = (-96 + 96m) Solving -5 + 33m = -96 + 96m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-96m' to each side of the equation. -5 + 33m + -96m = -96 + 96m + -96m Combine like terms: 33m + -96m = -63m -5 + -63m = -96 + 96m + -96m Combine like terms: 96m + -96m = 0 -5 + -63m = -96 + 0 -5 + -63m = -96 Add '5' to each side of the equation. -5 + 5 + -63m = -96 + 5 Combine like terms: -5 + 5 = 0 0 + -63m = -96 + 5 -63m = -96 + 5 Combine like terms: -96 + 5 = -91 -63m = -91 Divide each side by '-63'. m = 1.444444444 Simplifying m = 1.444444444
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