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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 = 13 13 + 5w + 15w = 0 Combine like terms: 5w + 15w = 20w 13 + 20w = 0 Solving 13 + 20w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 20w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 20w = 0 + -13 20w = 0 + -13 Combine like terms: 0 + -13 = -13 20w = -13 Divide each side by '20'. w = -0.65 Simplifying w = -0.65
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