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Simplifying 5w + -17 = 7(w + -5) Reorder the terms: -17 + 5w = 7(w + -5) Reorder the terms: -17 + 5w = 7(-5 + w) -17 + 5w = (-5 * 7 + w * 7) -17 + 5w = (-35 + 7w) Solving -17 + 5w = -35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -17 + 5w + -7w = -35 + 7w + -7w Combine like terms: 5w + -7w = -2w -17 + -2w = -35 + 7w + -7w Combine like terms: 7w + -7w = 0 -17 + -2w = -35 + 0 -17 + -2w = -35 Add '17' to each side of the equation. -17 + 17 + -2w = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -2w = -35 + 17 -2w = -35 + 17 Combine like terms: -35 + 17 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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