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Simplifying 1 + 3m + 8m + -6 = 6(5 + m) + -2(1 + -7m) Reorder the terms: 1 + -6 + 3m + 8m = 6(5 + m) + -2(1 + -7m) Combine like terms: 1 + -6 = -5 -5 + 3m + 8m = 6(5 + m) + -2(1 + -7m) Combine like terms: 3m + 8m = 11m -5 + 11m = 6(5 + m) + -2(1 + -7m) -5 + 11m = (5 * 6 + m * 6) + -2(1 + -7m) -5 + 11m = (30 + 6m) + -2(1 + -7m) -5 + 11m = 30 + 6m + (1 * -2 + -7m * -2) -5 + 11m = 30 + 6m + (-2 + 14m) Reorder the terms: -5 + 11m = 30 + -2 + 6m + 14m Combine like terms: 30 + -2 = 28 -5 + 11m = 28 + 6m + 14m Combine like terms: 6m + 14m = 20m -5 + 11m = 28 + 20m Solving -5 + 11m = 28 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -5 + 11m + -20m = 28 + 20m + -20m Combine like terms: 11m + -20m = -9m -5 + -9m = 28 + 20m + -20m Combine like terms: 20m + -20m = 0 -5 + -9m = 28 + 0 -5 + -9m = 28 Add '5' to each side of the equation. -5 + 5 + -9m = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -9m = 28 + 5 -9m = 28 + 5 Combine like terms: 28 + 5 = 33 -9m = 33 Divide each side by '-9'. m = -3.666666667 Simplifying m = -3.666666667
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