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Simplifying -3w + 27 = 3(w + 1) Reorder the terms: 27 + -3w = 3(w + 1) Reorder the terms: 27 + -3w = 3(1 + w) 27 + -3w = (1 * 3 + w * 3) 27 + -3w = (3 + 3w) Solving 27 + -3w = 3 + 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. 27 + -3w + -3w = 3 + 3w + -3w Combine like terms: -3w + -3w = -6w 27 + -6w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 27 + -6w = 3 + 0 27 + -6w = 3 Add '-27' to each side of the equation. 27 + -27 + -6w = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -6w = 3 + -27 -6w = 3 + -27 Combine like terms: 3 + -27 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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