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Simplifying 6(3 + 8m) + -1(8m + 7) = 51 (3 * 6 + 8m * 6) + -1(8m + 7) = 51 (18 + 48m) + -1(8m + 7) = 51 Reorder the terms: 18 + 48m + -1(7 + 8m) = 51 18 + 48m + (7 * -1 + 8m * -1) = 51 18 + 48m + (-7 + -8m) = 51 Reorder the terms: 18 + -7 + 48m + -8m = 51 Combine like terms: 18 + -7 = 11 11 + 48m + -8m = 51 Combine like terms: 48m + -8m = 40m 11 + 40m = 51 Solving 11 + 40m = 51 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 40m = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 40m = 51 + -11 40m = 51 + -11 Combine like terms: 51 + -11 = 40 40m = 40 Divide each side by '40'. m = 1 Simplifying m = 1
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