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