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Simplifying 55 = 4 + 3(m + 5) Reorder the terms: 55 = 4 + 3(5 + m) 55 = 4 + (5 * 3 + m * 3) 55 = 4 + (15 + 3m) Combine like terms: 4 + 15 = 19 55 = 19 + 3m Solving 55 = 19 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 55 + -3m = 19 + 3m + -3m Combine like terms: 3m + -3m = 0 55 + -3m = 19 + 0 55 + -3m = 19 Add '-55' to each side of the equation. 55 + -55 + -3m = 19 + -55 Combine like terms: 55 + -55 = 0 0 + -3m = 19 + -55 -3m = 19 + -55 Combine like terms: 19 + -55 = -36 -3m = -36 Divide each side by '-3'. m = 12 Simplifying m = 12
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