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Simplifying 142 = 2m + -8(1 + 4m) 142 = 2m + (1 * -8 + 4m * -8) 142 = 2m + (-8 + -32m) Reorder the terms: 142 = -8 + 2m + -32m Combine like terms: 2m + -32m = -30m 142 = -8 + -30m Solving 142 = -8 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 142 + 30m = -8 + -30m + 30m Combine like terms: -30m + 30m = 0 142 + 30m = -8 + 0 142 + 30m = -8 Add '-142' to each side of the equation. 142 + -142 + 30m = -8 + -142 Combine like terms: 142 + -142 = 0 0 + 30m = -8 + -142 30m = -8 + -142 Combine like terms: -8 + -142 = -150 30m = -150 Divide each side by '30'. m = -5 Simplifying m = -5
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