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Simplifying 32 = 4(w + 7) Reorder the terms: 32 = 4(7 + w) 32 = (7 * 4 + w * 4) 32 = (28 + 4w) Solving 32 = 28 + 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. 32 + -4w = 28 + 4w + -4w Combine like terms: 4w + -4w = 0 32 + -4w = 28 + 0 32 + -4w = 28 Add '-32' to each side of the equation. 32 + -32 + -4w = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 28 + -32 -4w = 28 + -32 Combine like terms: 28 + -32 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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