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Simplifying 5(3w + -2) + -7 = 0 Reorder the terms: 5(-2 + 3w) + -7 = 0 (-2 * 5 + 3w * 5) + -7 = 0 (-10 + 15w) + -7 = 0 Reorder the terms: -10 + -7 + 15w = 0 Combine like terms: -10 + -7 = -17 -17 + 15w = 0 Solving -17 + 15w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 15w = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 15w = 0 + 17 15w = 0 + 17 Combine like terms: 0 + 17 = 17 15w = 17 Divide each side by '15'. w = 1.133333333 Simplifying w = 1.133333333
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