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Simplifying 3w + 8(w + -4) = 34 Reorder the terms: 3w + 8(-4 + w) = 34 3w + (-4 * 8 + w * 8) = 34 3w + (-32 + 8w) = 34 Reorder the terms: -32 + 3w + 8w = 34 Combine like terms: 3w + 8w = 11w -32 + 11w = 34 Solving -32 + 11w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11w = 34 + 32 Combine like terms: -32 + 32 = 0 0 + 11w = 34 + 32 11w = 34 + 32 Combine like terms: 34 + 32 = 66 11w = 66 Divide each side by '11'. w = 6 Simplifying w = 6
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