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Simplifying 8m2 + 2(3m + -5) = 4m(2m + -3) Reorder the terms: 8m2 + 2(-5 + 3m) = 4m(2m + -3) 8m2 + (-5 * 2 + 3m * 2) = 4m(2m + -3) 8m2 + (-10 + 6m) = 4m(2m + -3) Reorder the terms: -10 + 6m + 8m2 = 4m(2m + -3) Reorder the terms: -10 + 6m + 8m2 = 4m(-3 + 2m) -10 + 6m + 8m2 = (-3 * 4m + 2m * 4m) -10 + 6m + 8m2 = (-12m + 8m2) Add '-8m2' to each side of the equation. -10 + 6m + 8m2 + -8m2 = -12m + 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 -10 + 6m + 0 = -12m + 8m2 + -8m2 -10 + 6m = -12m + 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 -10 + 6m = -12m + 0 -10 + 6m = -12m Solving -10 + 6m = -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -10 + 6m + 12m = -12m + 12m Combine like terms: 6m + 12m = 18m -10 + 18m = -12m + 12m Combine like terms: -12m + 12m = 0 -10 + 18m = 0 Add '10' to each side of the equation. -10 + 10 + 18m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 18m = 0 + 10 18m = 0 + 10 Combine like terms: 0 + 10 = 10 18m = 10 Divide each side by '18'. m = 0.5555555556 Simplifying m = 0.5555555556
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