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Simplifying -8(1 + -3m) + -6(m + 5) = -74 (1 * -8 + -3m * -8) + -6(m + 5) = -74 (-8 + 24m) + -6(m + 5) = -74 Reorder the terms: -8 + 24m + -6(5 + m) = -74 -8 + 24m + (5 * -6 + m * -6) = -74 -8 + 24m + (-30 + -6m) = -74 Reorder the terms: -8 + -30 + 24m + -6m = -74 Combine like terms: -8 + -30 = -38 -38 + 24m + -6m = -74 Combine like terms: 24m + -6m = 18m -38 + 18m = -74 Solving -38 + 18m = -74 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 18m = -74 + 38 Combine like terms: -38 + 38 = 0 0 + 18m = -74 + 38 18m = -74 + 38 Combine like terms: -74 + 38 = -36 18m = -36 Divide each side by '18'. m = -2 Simplifying m = -2
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