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Simplifying 45 = 4w + 17 Reorder the terms: 45 = 17 + 4w Solving 45 = 17 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 45 + -4w = 17 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + -4w = 17 + 0 45 + -4w = 17 Add '-45' to each side of the equation. 45 + -45 + -4w = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -4w = 17 + -45 -4w = 17 + -45 Combine like terms: 17 + -45 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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