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Simplifying 38 = 2(m + 3) + 6m Reorder the terms: 38 = 2(3 + m) + 6m 38 = (3 * 2 + m * 2) + 6m 38 = (6 + 2m) + 6m Combine like terms: 2m + 6m = 8m 38 = 6 + 8m Solving 38 = 6 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 38 + -8m = 6 + 8m + -8m Combine like terms: 8m + -8m = 0 38 + -8m = 6 + 0 38 + -8m = 6 Add '-38' to each side of the equation. 38 + -38 + -8m = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8m = 6 + -38 -8m = 6 + -38 Combine like terms: 6 + -38 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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