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Simplifying 40 + 6m = 7(6m + 1) + -3m Reorder the terms: 40 + 6m = 7(1 + 6m) + -3m 40 + 6m = (1 * 7 + 6m * 7) + -3m 40 + 6m = (7 + 42m) + -3m Combine like terms: 42m + -3m = 39m 40 + 6m = 7 + 39m Solving 40 + 6m = 7 + 39m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39m' to each side of the equation. 40 + 6m + -39m = 7 + 39m + -39m Combine like terms: 6m + -39m = -33m 40 + -33m = 7 + 39m + -39m Combine like terms: 39m + -39m = 0 40 + -33m = 7 + 0 40 + -33m = 7 Add '-40' to each side of the equation. 40 + -40 + -33m = 7 + -40 Combine like terms: 40 + -40 = 0 0 + -33m = 7 + -40 -33m = 7 + -40 Combine like terms: 7 + -40 = -33 -33m = -33 Divide each side by '-33'. m = 1 Simplifying m = 1
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