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Simplifying -9w + 27 = 3(w + -7) Reorder the terms: 27 + -9w = 3(w + -7) Reorder the terms: 27 + -9w = 3(-7 + w) 27 + -9w = (-7 * 3 + w * 3) 27 + -9w = (-21 + 3w) Solving 27 + -9w = -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. 27 + -9w + -3w = -21 + 3w + -3w Combine like terms: -9w + -3w = -12w 27 + -12w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 27 + -12w = -21 + 0 27 + -12w = -21 Add '-27' to each side of the equation. 27 + -27 + -12w = -21 + -27 Combine like terms: 27 + -27 = 0 0 + -12w = -21 + -27 -12w = -21 + -27 Combine like terms: -21 + -27 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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