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Simplifying -9(m + -7) + 2(2 + -4m) = -18(m + -3) + 3 Reorder the terms: -9(-7 + m) + 2(2 + -4m) = -18(m + -3) + 3 (-7 * -9 + m * -9) + 2(2 + -4m) = -18(m + -3) + 3 (63 + -9m) + 2(2 + -4m) = -18(m + -3) + 3 63 + -9m + (2 * 2 + -4m * 2) = -18(m + -3) + 3 63 + -9m + (4 + -8m) = -18(m + -3) + 3 Reorder the terms: 63 + 4 + -9m + -8m = -18(m + -3) + 3 Combine like terms: 63 + 4 = 67 67 + -9m + -8m = -18(m + -3) + 3 Combine like terms: -9m + -8m = -17m 67 + -17m = -18(m + -3) + 3 Reorder the terms: 67 + -17m = -18(-3 + m) + 3 67 + -17m = (-3 * -18 + m * -18) + 3 67 + -17m = (54 + -18m) + 3 Reorder the terms: 67 + -17m = 54 + 3 + -18m Combine like terms: 54 + 3 = 57 67 + -17m = 57 + -18m Solving 67 + -17m = 57 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 67 + -17m + 18m = 57 + -18m + 18m Combine like terms: -17m + 18m = 1m 67 + 1m = 57 + -18m + 18m Combine like terms: -18m + 18m = 0 67 + 1m = 57 + 0 67 + 1m = 57 Add '-67' to each side of the equation. 67 + -67 + 1m = 57 + -67 Combine like terms: 67 + -67 = 0 0 + 1m = 57 + -67 1m = 57 + -67 Combine like terms: 57 + -67 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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