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Simplifying 30 + -8m = 7m + -6(3m + -3) Reorder the terms: 30 + -8m = 7m + -6(-3 + 3m) 30 + -8m = 7m + (-3 * -6 + 3m * -6) 30 + -8m = 7m + (18 + -18m) Reorder the terms: 30 + -8m = 18 + 7m + -18m Combine like terms: 7m + -18m = -11m 30 + -8m = 18 + -11m Solving 30 + -8m = 18 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 30 + -8m + 11m = 18 + -11m + 11m Combine like terms: -8m + 11m = 3m 30 + 3m = 18 + -11m + 11m Combine like terms: -11m + 11m = 0 30 + 3m = 18 + 0 30 + 3m = 18 Add '-30' to each side of the equation. 30 + -30 + 3m = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 3m = 18 + -30 3m = 18 + -30 Combine like terms: 18 + -30 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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