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Simplifying -9w + 3 = -6(w + 2) Reorder the terms: 3 + -9w = -6(w + 2) Reorder the terms: 3 + -9w = -6(2 + w) 3 + -9w = (2 * -6 + w * -6) 3 + -9w = (-12 + -6w) Solving 3 + -9w = -12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 3 + -9w + 6w = -12 + -6w + 6w Combine like terms: -9w + 6w = -3w 3 + -3w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 3 + -3w = -12 + 0 3 + -3w = -12 Add '-3' to each side of the equation. 3 + -3 + -3w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = -12 + -3 -3w = -12 + -3 Combine like terms: -12 + -3 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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