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Simplifying 3(w + -1) + 4 = 102 Reorder the terms: 3(-1 + w) + 4 = 102 (-1 * 3 + w * 3) + 4 = 102 (-3 + 3w) + 4 = 102 Reorder the terms: -3 + 4 + 3w = 102 Combine like terms: -3 + 4 = 1 1 + 3w = 102 Solving 1 + 3w = 102 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3w = 102 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 102 + -1 3w = 102 + -1 Combine like terms: 102 + -1 = 101 3w = 101 Divide each side by '3'. w = 33.66666667 Simplifying w = 33.66666667
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