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Simplifying 45 = 4w + 13 Reorder the terms: 45 = 13 + 4w Solving 45 = 13 + 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 = 13 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + -4w = 13 + 0 45 + -4w = 13 Add '-45' to each side of the equation. 45 + -45 + -4w = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -4w = 13 + -45 -4w = 13 + -45 Combine like terms: 13 + -45 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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