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Simplifying 315 = 7(6m + 3) Reorder the terms: 315 = 7(3 + 6m) 315 = (3 * 7 + 6m * 7) 315 = (21 + 42m) Solving 315 = 21 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. 315 + -42m = 21 + 42m + -42m Combine like terms: 42m + -42m = 0 315 + -42m = 21 + 0 315 + -42m = 21 Add '-315' to each side of the equation. 315 + -315 + -42m = 21 + -315 Combine like terms: 315 + -315 = 0 0 + -42m = 21 + -315 -42m = 21 + -315 Combine like terms: 21 + -315 = -294 -42m = -294 Divide each side by '-42'. m = 7 Simplifying m = 7
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