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Simplifying 5(w + 5 + -7) = (w + -6) * 4 Reorder the terms: 5(5 + -7 + w) = (w + -6) * 4 Combine like terms: 5 + -7 = -2 5(-2 + w) = (w + -6) * 4 (-2 * 5 + w * 5) = (w + -6) * 4 (-10 + 5w) = (w + -6) * 4 Reorder the terms: -10 + 5w = (-6 + w) * 4 Reorder the terms for easier multiplication: -10 + 5w = 4(-6 + w) -10 + 5w = (-6 * 4 + w * 4) -10 + 5w = (-24 + 4w) Solving -10 + 5w = -24 + 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. -10 + 5w + -4w = -24 + 4w + -4w Combine like terms: 5w + -4w = 1w -10 + 1w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -10 + 1w = -24 + 0 -10 + 1w = -24 Add '10' to each side of the equation. -10 + 10 + 1w = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 1w = -24 + 10 1w = -24 + 10 Combine like terms: -24 + 10 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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