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Simplifying 3(m + -5) + 1 = 2(m + 2) + -18 Reorder the terms: 3(-5 + m) + 1 = 2(m + 2) + -18 (-5 * 3 + m * 3) + 1 = 2(m + 2) + -18 (-15 + 3m) + 1 = 2(m + 2) + -18 Reorder the terms: -15 + 1 + 3m = 2(m + 2) + -18 Combine like terms: -15 + 1 = -14 -14 + 3m = 2(m + 2) + -18 Reorder the terms: -14 + 3m = 2(2 + m) + -18 -14 + 3m = (2 * 2 + m * 2) + -18 -14 + 3m = (4 + 2m) + -18 Reorder the terms: -14 + 3m = 4 + -18 + 2m Combine like terms: 4 + -18 = -14 -14 + 3m = -14 + 2m Add '14' to each side of the equation. -14 + 14 + 3m = -14 + 14 + 2m Combine like terms: -14 + 14 = 0 0 + 3m = -14 + 14 + 2m 3m = -14 + 14 + 2m Combine like terms: -14 + 14 = 0 3m = 0 + 2m 3m = 2m Solving 3m = 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3m + -2m = 2m + -2m Combine like terms: 3m + -2m = 1m 1m = 2m + -2m Combine like terms: 2m + -2m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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