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Simplifying -9w + 3 = -3(w + 7) Reorder the terms: 3 + -9w = -3(w + 7) Reorder the terms: 3 + -9w = -3(7 + w) 3 + -9w = (7 * -3 + w * -3) 3 + -9w = (-21 + -3w) Solving 3 + -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. 3 + -9w + 3w = -21 + -3w + 3w Combine like terms: -9w + 3w = -6w 3 + -6w = -21 + -3w + 3w Combine like terms: -3w + 3w = 0 3 + -6w = -21 + 0 3 + -6w = -21 Add '-3' to each side of the equation. 3 + -3 + -6w = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -6w = -21 + -3 -6w = -21 + -3 Combine like terms: -21 + -3 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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