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Simplifying 6m(m + -3) + 20 = 8 + -3m(5 + -2m) Reorder the terms: 6m(-3 + m) + 20 = 8 + -3m(5 + -2m) (-3 * 6m + m * 6m) + 20 = 8 + -3m(5 + -2m) (-18m + 6m2) + 20 = 8 + -3m(5 + -2m) Reorder the terms: 20 + -18m + 6m2 = 8 + -3m(5 + -2m) 20 + -18m + 6m2 = 8 + (5 * -3m + -2m * -3m) 20 + -18m + 6m2 = 8 + (-15m + 6m2) Add '-6m2' to each side of the equation. 20 + -18m + 6m2 + -6m2 = 8 + -15m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 20 + -18m + 0 = 8 + -15m + 6m2 + -6m2 20 + -18m = 8 + -15m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 20 + -18m = 8 + -15m + 0 20 + -18m = 8 + -15m Solving 20 + -18m = 8 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. 20 + -18m + 15m = 8 + -15m + 15m Combine like terms: -18m + 15m = -3m 20 + -3m = 8 + -15m + 15m Combine like terms: -15m + 15m = 0 20 + -3m = 8 + 0 20 + -3m = 8 Add '-20' to each side of the equation. 20 + -20 + -3m = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -3m = 8 + -20 -3m = 8 + -20 Combine like terms: 8 + -20 = -12 -3m = -12 Divide each side by '-3'. m = 4 Simplifying m = 4
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