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Simplifying 48 = 3(w + 7) Reorder the terms: 48 = 3(7 + w) 48 = (7 * 3 + w * 3) 48 = (21 + 3w) Solving 48 = 21 + 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. 48 + -3w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 48 + -3w = 21 + 0 48 + -3w = 21 Add '-48' to each side of the equation. 48 + -48 + -3w = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -3w = 21 + -48 -3w = 21 + -48 Combine like terms: 21 + -48 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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