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Simplifying 17 = -4(3 + w) + 7 17 = (3 * -4 + w * -4) + 7 17 = (-12 + -4w) + 7 Reorder the terms: 17 = -12 + 7 + -4w Combine like terms: -12 + 7 = -5 17 = -5 + -4w Solving 17 = -5 + -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 + 4w = -5 + -4w + 4w Combine like terms: -4w + 4w = 0 17 + 4w = -5 + 0 17 + 4w = -5 Add '-17' to each side of the equation. 17 + -17 + 4w = -5 + -17 Combine like terms: 17 + -17 = 0 0 + 4w = -5 + -17 4w = -5 + -17 Combine like terms: -5 + -17 = -22 4w = -22 Divide each side by '4'. w = -5.5 Simplifying w = -5.5
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