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Simplifying -35 = -7w + 4(w + -8) Reorder the terms: -35 = -7w + 4(-8 + w) -35 = -7w + (-8 * 4 + w * 4) -35 = -7w + (-32 + 4w) Reorder the terms: -35 = -32 + -7w + 4w Combine like terms: -7w + 4w = -3w -35 = -32 + -3w Solving -35 = -32 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -35 + 3w = -32 + -3w + 3w Combine like terms: -3w + 3w = 0 -35 + 3w = -32 + 0 -35 + 3w = -32 Add '35' to each side of the equation. -35 + 35 + 3w = -32 + 35 Combine like terms: -35 + 35 = 0 0 + 3w = -32 + 35 3w = -32 + 35 Combine like terms: -32 + 35 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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