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Simplifying 1 + -4(w + 2) = 5(w + 4) Reorder the terms: 1 + -4(2 + w) = 5(w + 4) 1 + (2 * -4 + w * -4) = 5(w + 4) 1 + (-8 + -4w) = 5(w + 4) Combine like terms: 1 + -8 = -7 -7 + -4w = 5(w + 4) Reorder the terms: -7 + -4w = 5(4 + w) -7 + -4w = (4 * 5 + w * 5) -7 + -4w = (20 + 5w) Solving -7 + -4w = 20 + 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. -7 + -4w + -5w = 20 + 5w + -5w Combine like terms: -4w + -5w = -9w -7 + -9w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -9w = 20 + 0 -7 + -9w = 20 Add '7' to each side of the equation. -7 + 7 + -9w = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -9w = 20 + 7 -9w = 20 + 7 Combine like terms: 20 + 7 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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