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Simplifying 6m + -30 = 6 + -1(8m + -4) Reorder the terms: -30 + 6m = 6 + -1(8m + -4) Reorder the terms: -30 + 6m = 6 + -1(-4 + 8m) -30 + 6m = 6 + (-4 * -1 + 8m * -1) -30 + 6m = 6 + (4 + -8m) Combine like terms: 6 + 4 = 10 -30 + 6m = 10 + -8m Solving -30 + 6m = 10 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -30 + 6m + 8m = 10 + -8m + 8m Combine like terms: 6m + 8m = 14m -30 + 14m = 10 + -8m + 8m Combine like terms: -8m + 8m = 0 -30 + 14m = 10 + 0 -30 + 14m = 10 Add '30' to each side of the equation. -30 + 30 + 14m = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 14m = 10 + 30 14m = 10 + 30 Combine like terms: 10 + 30 = 40 14m = 40 Divide each side by '14'. m = 2.857142857 Simplifying m = 2.857142857
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