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Simplifying 100 = -8(3m + 1) Reorder the terms: 100 = -8(1 + 3m) 100 = (1 * -8 + 3m * -8) 100 = (-8 + -24m) Solving 100 = -8 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. 100 + 24m = -8 + -24m + 24m Combine like terms: -24m + 24m = 0 100 + 24m = -8 + 0 100 + 24m = -8 Add '-100' to each side of the equation. 100 + -100 + 24m = -8 + -100 Combine like terms: 100 + -100 = 0 0 + 24m = -8 + -100 24m = -8 + -100 Combine like terms: -8 + -100 = -108 24m = -108 Divide each side by '24'. m = -4.5 Simplifying m = -4.5
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