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Simplifying -8w + 6(w + 8) = 34 Reorder the terms: -8w + 6(8 + w) = 34 -8w + (8 * 6 + w * 6) = 34 -8w + (48 + 6w) = 34 Reorder the terms: 48 + -8w + 6w = 34 Combine like terms: -8w + 6w = -2w 48 + -2w = 34 Solving 48 + -2w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -2w = 34 + -48 Combine like terms: 48 + -48 = 0 0 + -2w = 34 + -48 -2w = 34 + -48 Combine like terms: 34 + -48 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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