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Simplifying 8 + -1(4m + 16) = -3(m + 10) + -24 Reorder the terms: 8 + -1(16 + 4m) = -3(m + 10) + -24 8 + (16 * -1 + 4m * -1) = -3(m + 10) + -24 8 + (-16 + -4m) = -3(m + 10) + -24 Combine like terms: 8 + -16 = -8 -8 + -4m = -3(m + 10) + -24 Reorder the terms: -8 + -4m = -3(10 + m) + -24 -8 + -4m = (10 * -3 + m * -3) + -24 -8 + -4m = (-30 + -3m) + -24 Reorder the terms: -8 + -4m = -30 + -24 + -3m Combine like terms: -30 + -24 = -54 -8 + -4m = -54 + -3m Solving -8 + -4m = -54 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + -4m + 3m = -54 + -3m + 3m Combine like terms: -4m + 3m = -1m -8 + -1m = -54 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + -1m = -54 + 0 -8 + -1m = -54 Add '8' to each side of the equation. -8 + 8 + -1m = -54 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = -54 + 8 -1m = -54 + 8 Combine like terms: -54 + 8 = -46 -1m = -46 Divide each side by '-1'. m = 46 Simplifying m = 46
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