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Simplifying 20w + -5(9w + 17) = 15 + -18w + 19 Reorder the terms: 20w + -5(17 + 9w) = 15 + -18w + 19 20w + (17 * -5 + 9w * -5) = 15 + -18w + 19 20w + (-85 + -45w) = 15 + -18w + 19 Reorder the terms: -85 + 20w + -45w = 15 + -18w + 19 Combine like terms: 20w + -45w = -25w -85 + -25w = 15 + -18w + 19 Reorder the terms: -85 + -25w = 15 + 19 + -18w Combine like terms: 15 + 19 = 34 -85 + -25w = 34 + -18w Solving -85 + -25w = 34 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -85 + -25w + 18w = 34 + -18w + 18w Combine like terms: -25w + 18w = -7w -85 + -7w = 34 + -18w + 18w Combine like terms: -18w + 18w = 0 -85 + -7w = 34 + 0 -85 + -7w = 34 Add '85' to each side of the equation. -85 + 85 + -7w = 34 + 85 Combine like terms: -85 + 85 = 0 0 + -7w = 34 + 85 -7w = 34 + 85 Combine like terms: 34 + 85 = 119 -7w = 119 Divide each side by '-7'. w = -17 Simplifying w = -17
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