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Simplifying 8 = 2(m + 7) Reorder the terms: 8 = 2(7 + m) 8 = (7 * 2 + m * 2) 8 = (14 + 2m) Solving 8 = 14 + 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. 8 + -2m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -2m = 14 + 0 8 + -2m = 14 Add '-8' to each side of the equation. 8 + -8 + -2m = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = 14 + -8 -2m = 14 + -8 Combine like terms: 14 + -8 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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