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Simplifying 8 = 3(w + 1) + -1 Reorder the terms: 8 = 3(1 + w) + -1 8 = (1 * 3 + w * 3) + -1 8 = (3 + 3w) + -1 Reorder the terms: 8 = 3 + -1 + 3w Combine like terms: 3 + -1 = 2 8 = 2 + 3w Solving 8 = 2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + -3w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -3w = 2 + 0 8 + -3w = 2 Add '-8' to each side of the equation. 8 + -8 + -3w = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 2 + -8 -3w = 2 + -8 Combine like terms: 2 + -8 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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