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Simplifying 5(3w + -2) + -7 = 35 Reorder the terms: 5(-2 + 3w) + -7 = 35 (-2 * 5 + 3w * 5) + -7 = 35 (-10 + 15w) + -7 = 35 Reorder the terms: -10 + -7 + 15w = 35 Combine like terms: -10 + -7 = -17 -17 + 15w = 35 Solving -17 + 15w = 35 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 = 35 + 17 Combine like terms: -17 + 17 = 0 0 + 15w = 35 + 17 15w = 35 + 17 Combine like terms: 35 + 17 = 52 15w = 52 Divide each side by '15'. w = 3.466666667 Simplifying w = 3.466666667
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