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Simplifying -8(7 + -3m) + 5(m + -6) = 1 (7 * -8 + -3m * -8) + 5(m + -6) = 1 (-56 + 24m) + 5(m + -6) = 1 Reorder the terms: -56 + 24m + 5(-6 + m) = 1 -56 + 24m + (-6 * 5 + m * 5) = 1 -56 + 24m + (-30 + 5m) = 1 Reorder the terms: -56 + -30 + 24m + 5m = 1 Combine like terms: -56 + -30 = -86 -86 + 24m + 5m = 1 Combine like terms: 24m + 5m = 29m -86 + 29m = 1 Solving -86 + 29m = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + 29m = 1 + 86 Combine like terms: -86 + 86 = 0 0 + 29m = 1 + 86 29m = 1 + 86 Combine like terms: 1 + 86 = 87 29m = 87 Divide each side by '29'. m = 3 Simplifying m = 3
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