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Simplifying 5(10 + -1w) = 10(w + -4) (10 * 5 + -1w * 5) = 10(w + -4) (50 + -5w) = 10(w + -4) Reorder the terms: 50 + -5w = 10(-4 + w) 50 + -5w = (-4 * 10 + w * 10) 50 + -5w = (-40 + 10w) Solving 50 + -5w = -40 + 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. 50 + -5w + -10w = -40 + 10w + -10w Combine like terms: -5w + -10w = -15w 50 + -15w = -40 + 10w + -10w Combine like terms: 10w + -10w = 0 50 + -15w = -40 + 0 50 + -15w = -40 Add '-50' to each side of the equation. 50 + -50 + -15w = -40 + -50 Combine like terms: 50 + -50 = 0 0 + -15w = -40 + -50 -15w = -40 + -50 Combine like terms: -40 + -50 = -90 -15w = -90 Divide each side by '-15'. w = 6 Simplifying w = 6
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