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Simplifying 3w + -17 = -4(w + -8) Reorder the terms: -17 + 3w = -4(w + -8) Reorder the terms: -17 + 3w = -4(-8 + w) -17 + 3w = (-8 * -4 + w * -4) -17 + 3w = (32 + -4w) Solving -17 + 3w = 32 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -17 + 3w + 4w = 32 + -4w + 4w Combine like terms: 3w + 4w = 7w -17 + 7w = 32 + -4w + 4w Combine like terms: -4w + 4w = 0 -17 + 7w = 32 + 0 -17 + 7w = 32 Add '17' to each side of the equation. -17 + 17 + 7w = 32 + 17 Combine like terms: -17 + 17 = 0 0 + 7w = 32 + 17 7w = 32 + 17 Combine like terms: 32 + 17 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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