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Simplifying 7 + (m + 8) = 4(m + 3) Reorder the terms: 7 + (8 + m) = 4(m + 3) Remove parenthesis around (8 + m) 7 + 8 + m = 4(m + 3) Combine like terms: 7 + 8 = 15 15 + m = 4(m + 3) Reorder the terms: 15 + m = 4(3 + m) 15 + m = (3 * 4 + m * 4) 15 + m = (12 + 4m) Solving 15 + m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 15 + m + -4m = 12 + 4m + -4m Combine like terms: m + -4m = -3m 15 + -3m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + -3m = 12 + 0 15 + -3m = 12 Add '-15' to each side of the equation. 15 + -15 + -3m = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -3m = 12 + -15 -3m = 12 + -15 Combine like terms: 12 + -15 = -3 -3m = -3 Divide each side by '-3'. m = 1 Simplifying m = 1
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