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Simplifying -7w + 4(w + 8) = 35 Reorder the terms: -7w + 4(8 + w) = 35 -7w + (8 * 4 + w * 4) = 35 -7w + (32 + 4w) = 35 Reorder the terms: 32 + -7w + 4w = 35 Combine like terms: -7w + 4w = -3w 32 + -3w = 35 Solving 32 + -3w = 35 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 + -3w = 35 + -32 Combine like terms: 32 + -32 = 0 0 + -3w = 35 + -32 -3w = 35 + -32 Combine like terms: 35 + -32 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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