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Simplifying 5w + -7 + 5(3w + -4) = 0 Reorder the terms: 5w + -7 + 5(-4 + 3w) = 0 5w + -7 + (-4 * 5 + 3w * 5) = 0 5w + -7 + (-20 + 15w) = 0 Reorder the terms: -7 + -20 + 5w + 15w = 0 Combine like terms: -7 + -20 = -27 -27 + 5w + 15w = 0 Combine like terms: 5w + 15w = 20w -27 + 20w = 0 Solving -27 + 20w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 20w = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 20w = 0 + 27 20w = 0 + 27 Combine like terms: 0 + 27 = 27 20w = 27 Divide each side by '20'. w = 1.35 Simplifying w = 1.35
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