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Simplifying 5(3w + 18) + -15w = -18w + -5 + 13w Reorder the terms: 5(18 + 3w) + -15w = -18w + -5 + 13w (18 * 5 + 3w * 5) + -15w = -18w + -5 + 13w (90 + 15w) + -15w = -18w + -5 + 13w Combine like terms: 15w + -15w = 0 90 + 0 = -18w + -5 + 13w 90 = -18w + -5 + 13w Reorder the terms: 90 = -5 + -18w + 13w Combine like terms: -18w + 13w = -5w 90 = -5 + -5w Solving 90 = -5 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 90 + 5w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 90 + 5w = -5 + 0 90 + 5w = -5 Add '-90' to each side of the equation. 90 + -90 + 5w = -5 + -90 Combine like terms: 90 + -90 = 0 0 + 5w = -5 + -90 5w = -5 + -90 Combine like terms: -5 + -90 = -95 5w = -95 Divide each side by '5'. w = -19 Simplifying w = -19
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