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Simplifying 30 + -2m = 6(1 + -3m) + -8m 30 + -2m = (1 * 6 + -3m * 6) + -8m 30 + -2m = (6 + -18m) + -8m Combine like terms: -18m + -8m = -26m 30 + -2m = 6 + -26m Solving 30 + -2m = 6 + -26m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '26m' to each side of the equation. 30 + -2m + 26m = 6 + -26m + 26m Combine like terms: -2m + 26m = 24m 30 + 24m = 6 + -26m + 26m Combine like terms: -26m + 26m = 0 30 + 24m = 6 + 0 30 + 24m = 6 Add '-30' to each side of the equation. 30 + -30 + 24m = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 24m = 6 + -30 24m = 6 + -30 Combine like terms: 6 + -30 = -24 24m = -24 Divide each side by '24'. m = -1 Simplifying m = -1
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