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Simplifying -7(m + -20) + -12m = -18 + 3m + -18 Reorder the terms: -7(-20 + m) + -12m = -18 + 3m + -18 (-20 * -7 + m * -7) + -12m = -18 + 3m + -18 (140 + -7m) + -12m = -18 + 3m + -18 Combine like terms: -7m + -12m = -19m 140 + -19m = -18 + 3m + -18 Reorder the terms: 140 + -19m = -18 + -18 + 3m Combine like terms: -18 + -18 = -36 140 + -19m = -36 + 3m Solving 140 + -19m = -36 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 140 + -19m + -3m = -36 + 3m + -3m Combine like terms: -19m + -3m = -22m 140 + -22m = -36 + 3m + -3m Combine like terms: 3m + -3m = 0 140 + -22m = -36 + 0 140 + -22m = -36 Add '-140' to each side of the equation. 140 + -140 + -22m = -36 + -140 Combine like terms: 140 + -140 = 0 0 + -22m = -36 + -140 -22m = -36 + -140 Combine like terms: -36 + -140 = -176 -22m = -176 Divide each side by '-22'. m = 8 Simplifying m = 8
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