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Simplifying 1600 = -5(3w + 7) Reorder the terms: 1600 = -5(7 + 3w) 1600 = (7 * -5 + 3w * -5) 1600 = (-35 + -15w) Solving 1600 = -35 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 1600 + 15w = -35 + -15w + 15w Combine like terms: -15w + 15w = 0 1600 + 15w = -35 + 0 1600 + 15w = -35 Add '-1600' to each side of the equation. 1600 + -1600 + 15w = -35 + -1600 Combine like terms: 1600 + -1600 = 0 0 + 15w = -35 + -1600 15w = -35 + -1600 Combine like terms: -35 + -1600 = -1635 15w = -1635 Divide each side by '15'. w = -109 Simplifying w = -109
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