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Simplifying 7 = 3w + -17 Reorder the terms: 7 = -17 + 3w Solving 7 = -17 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7 + -3w = -17 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + -3w = -17 + 0 7 + -3w = -17 Add '-7' to each side of the equation. 7 + -7 + -3w = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = -17 + -7 -3w = -17 + -7 Combine like terms: -17 + -7 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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