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Simplifying (5)(w + 4) = -1(5)(2w + 8) + 1 Reorder the terms: 5(4 + w) = -1(5)(2w + 8) + 1 (4 * 5 + w * 5) = -1(5)(2w + 8) + 1 (20 + 5w) = -1(5)(2w + 8) + 1 Reorder the terms: 20 + 5w = -1 * 5(8 + 2w) + 1 Multiply -1 * 5 20 + 5w = -5(8 + 2w) + 1 20 + 5w = (8 * -5 + 2w * -5) + 1 20 + 5w = (-40 + -10w) + 1 Reorder the terms: 20 + 5w = -40 + 1 + -10w Combine like terms: -40 + 1 = -39 20 + 5w = -39 + -10w Solving 20 + 5w = -39 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 20 + 5w + 10w = -39 + -10w + 10w Combine like terms: 5w + 10w = 15w 20 + 15w = -39 + -10w + 10w Combine like terms: -10w + 10w = 0 20 + 15w = -39 + 0 20 + 15w = -39 Add '-20' to each side of the equation. 20 + -20 + 15w = -39 + -20 Combine like terms: 20 + -20 = 0 0 + 15w = -39 + -20 15w = -39 + -20 Combine like terms: -39 + -20 = -59 15w = -59 Divide each side by '15'. w = -3.933333333 Simplifying w = -3.933333333
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