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Simplifying 15 + 4(w + -5) = 6 + -1w Reorder the terms: 15 + 4(-5 + w) = 6 + -1w 15 + (-5 * 4 + w * 4) = 6 + -1w 15 + (-20 + 4w) = 6 + -1w Combine like terms: 15 + -20 = -5 -5 + 4w = 6 + -1w Solving -5 + 4w = 6 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -5 + 4w + w = 6 + -1w + w Combine like terms: 4w + w = 5w -5 + 5w = 6 + -1w + w Combine like terms: -1w + w = 0 -5 + 5w = 6 + 0 -5 + 5w = 6 Add '5' to each side of the equation. -5 + 5 + 5w = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = 6 + 5 5w = 6 + 5 Combine like terms: 6 + 5 = 11 5w = 11 Divide each side by '5'. w = 2.2 Simplifying w = 2.2
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