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Simplifying 7w + 6(w + 8) = 35 Reorder the terms: 7w + 6(8 + w) = 35 7w + (8 * 6 + w * 6) = 35 7w + (48 + 6w) = 35 Reorder the terms: 48 + 7w + 6w = 35 Combine like terms: 7w + 6w = 13w 48 + 13w = 35 Solving 48 + 13w = 35 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 + 13w = 35 + -48 Combine like terms: 48 + -48 = 0 0 + 13w = 35 + -48 13w = 35 + -48 Combine like terms: 35 + -48 = -13 13w = -13 Divide each side by '13'. w = -1 Simplifying w = -1
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