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Simplifying 4w + -3(w + 5) = -4(w + -5) Reorder the terms: 4w + -3(5 + w) = -4(w + -5) 4w + (5 * -3 + w * -3) = -4(w + -5) 4w + (-15 + -3w) = -4(w + -5) Reorder the terms: -15 + 4w + -3w = -4(w + -5) Combine like terms: 4w + -3w = 1w -15 + 1w = -4(w + -5) Reorder the terms: -15 + 1w = -4(-5 + w) -15 + 1w = (-5 * -4 + w * -4) -15 + 1w = (20 + -4w) Solving -15 + 1w = 20 + -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. -15 + 1w + 4w = 20 + -4w + 4w Combine like terms: 1w + 4w = 5w -15 + 5w = 20 + -4w + 4w Combine like terms: -4w + 4w = 0 -15 + 5w = 20 + 0 -15 + 5w = 20 Add '15' to each side of the equation. -15 + 15 + 5w = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 5w = 20 + 15 5w = 20 + 15 Combine like terms: 20 + 15 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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