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Simplifying 30 + -5m = -8(1 + 3m) 30 + -5m = (1 * -8 + 3m * -8) 30 + -5m = (-8 + -24m) Solving 30 + -5m = -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. 30 + -5m + 24m = -8 + -24m + 24m Combine like terms: -5m + 24m = 19m 30 + 19m = -8 + -24m + 24m Combine like terms: -24m + 24m = 0 30 + 19m = -8 + 0 30 + 19m = -8 Add '-30' to each side of the equation. 30 + -30 + 19m = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 19m = -8 + -30 19m = -8 + -30 Combine like terms: -8 + -30 = -38 19m = -38 Divide each side by '19'. m = -2 Simplifying m = -2
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