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Simplifying -61 = 8 + -4w + -14 + -1w Reorder the terms: -61 = 8 + -14 + -4w + -1w Combine like terms: 8 + -14 = -6 -61 = -6 + -4w + -1w Combine like terms: -4w + -1w = -5w -61 = -6 + -5w Solving -61 = -6 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -61 + 5w = -6 + -5w + 5w Combine like terms: -5w + 5w = 0 -61 + 5w = -6 + 0 -61 + 5w = -6 Add '61' to each side of the equation. -61 + 61 + 5w = -6 + 61 Combine like terms: -61 + 61 = 0 0 + 5w = -6 + 61 5w = -6 + 61 Combine like terms: -6 + 61 = 55 5w = 55 Divide each side by '5'. w = 11 Simplifying w = 11
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