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Simplifying 9(m + -2) = m + 38 Reorder the terms: 9(-2 + m) = m + 38 (-2 * 9 + m * 9) = m + 38 (-18 + 9m) = m + 38 Reorder the terms: -18 + 9m = 38 + m Solving -18 + 9m = 38 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -18 + 9m + -1m = 38 + m + -1m Combine like terms: 9m + -1m = 8m -18 + 8m = 38 + m + -1m Combine like terms: m + -1m = 0 -18 + 8m = 38 + 0 -18 + 8m = 38 Add '18' to each side of the equation. -18 + 18 + 8m = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 8m = 38 + 18 8m = 38 + 18 Combine like terms: 38 + 18 = 56 8m = 56 Divide each side by '8'. m = 7 Simplifying m = 7
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