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Simplifying -3w + 17 = 7(w + -9) Reorder the terms: 17 + -3w = 7(w + -9) Reorder the terms: 17 + -3w = 7(-9 + w) 17 + -3w = (-9 * 7 + w * 7) 17 + -3w = (-63 + 7w) Solving 17 + -3w = -63 + 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 + -3w + -7w = -63 + 7w + -7w Combine like terms: -3w + -7w = -10w 17 + -10w = -63 + 7w + -7w Combine like terms: 7w + -7w = 0 17 + -10w = -63 + 0 17 + -10w = -63 Add '-17' to each side of the equation. 17 + -17 + -10w = -63 + -17 Combine like terms: 17 + -17 = 0 0 + -10w = -63 + -17 -10w = -63 + -17 Combine like terms: -63 + -17 = -80 -10w = -80 Divide each side by '-10'. w = 8 Simplifying w = 8
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