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Simplifying 0 = 2(9m + 5) + 8(6m + 1) Reorder the terms: 0 = 2(5 + 9m) + 8(6m + 1) 0 = (5 * 2 + 9m * 2) + 8(6m + 1) 0 = (10 + 18m) + 8(6m + 1) Reorder the terms: 0 = 10 + 18m + 8(1 + 6m) 0 = 10 + 18m + (1 * 8 + 6m * 8) 0 = 10 + 18m + (8 + 48m) Reorder the terms: 0 = 10 + 8 + 18m + 48m Combine like terms: 10 + 8 = 18 0 = 18 + 18m + 48m Combine like terms: 18m + 48m = 66m 0 = 18 + 66m Solving 0 = 18 + 66m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-66m' to each side of the equation. 0 + -66m = 18 + 66m + -66m Remove the zero: -66m = 18 + 66m + -66m Combine like terms: 66m + -66m = 0 -66m = 18 + 0 -66m = 18 Divide each side by '-66'. m = -0.2727272727 Simplifying m = -0.2727272727
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