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Simplifying 10(8m + 9) = 10(6m + -3) Reorder the terms: 10(9 + 8m) = 10(6m + -3) (9 * 10 + 8m * 10) = 10(6m + -3) (90 + 80m) = 10(6m + -3) Reorder the terms: 90 + 80m = 10(-3 + 6m) 90 + 80m = (-3 * 10 + 6m * 10) 90 + 80m = (-30 + 60m) Solving 90 + 80m = -30 + 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. 90 + 80m + -60m = -30 + 60m + -60m Combine like terms: 80m + -60m = 20m 90 + 20m = -30 + 60m + -60m Combine like terms: 60m + -60m = 0 90 + 20m = -30 + 0 90 + 20m = -30 Add '-90' to each side of the equation. 90 + -90 + 20m = -30 + -90 Combine like terms: 90 + -90 = 0 0 + 20m = -30 + -90 20m = -30 + -90 Combine like terms: -30 + -90 = -120 20m = -120 Divide each side by '20'. m = -6 Simplifying m = -6
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