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Simplifying 5(w + -9 + 4w + -1) = -65 + -2(4 + -1w) Reorder the terms: 5(-9 + -1 + w + 4w) = -65 + -2(4 + -1w) Combine like terms: -9 + -1 = -10 5(-10 + w + 4w) = -65 + -2(4 + -1w) Combine like terms: w + 4w = 5w 5(-10 + 5w) = -65 + -2(4 + -1w) (-10 * 5 + 5w * 5) = -65 + -2(4 + -1w) (-50 + 25w) = -65 + -2(4 + -1w) -50 + 25w = -65 + (4 * -2 + -1w * -2) -50 + 25w = -65 + (-8 + 2w) Combine like terms: -65 + -8 = -73 -50 + 25w = -73 + 2w Solving -50 + 25w = -73 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -50 + 25w + -2w = -73 + 2w + -2w Combine like terms: 25w + -2w = 23w -50 + 23w = -73 + 2w + -2w Combine like terms: 2w + -2w = 0 -50 + 23w = -73 + 0 -50 + 23w = -73 Add '50' to each side of the equation. -50 + 50 + 23w = -73 + 50 Combine like terms: -50 + 50 = 0 0 + 23w = -73 + 50 23w = -73 + 50 Combine like terms: -73 + 50 = -23 23w = -23 Divide each side by '23'. w = -1 Simplifying w = -1
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