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Simplifying 6(m + 3) + -2m = 38 Reorder the terms: 6(3 + m) + -2m = 38 (3 * 6 + m * 6) + -2m = 38 (18 + 6m) + -2m = 38 Combine like terms: 6m + -2m = 4m 18 + 4m = 38 Solving 18 + 4m = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4m = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 4m = 38 + -18 4m = 38 + -18 Combine like terms: 38 + -18 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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