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Simplifying 7 = 4(w + 2) Reorder the terms: 7 = 4(2 + w) 7 = (2 * 4 + w * 4) 7 = (8 + 4w) Solving 7 = 8 + 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. 7 + -4w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -4w = 8 + 0 7 + -4w = 8 Add '-7' to each side of the equation. 7 + -7 + -4w = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = 8 + -7 -4w = 8 + -7 Combine like terms: 8 + -7 = 1 -4w = 1 Divide each side by '-4'. w = -0.25 Simplifying w = -0.25
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