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Simplifying 8 + 12w + -17w + w + -29 = 19 Reorder the terms: 8 + -29 + 12w + -17w + w = 19 Combine like terms: 8 + -29 = -21 -21 + 12w + -17w + w = 19 Combine like terms: 12w + -17w = -5w -21 + -5w + w = 19 Combine like terms: -5w + w = -4w -21 + -4w = 19 Solving -21 + -4w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4w = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -4w = 19 + 21 -4w = 19 + 21 Combine like terms: 19 + 21 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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