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Simplifying -6w + 18 = -4(w + -6) Reorder the terms: 18 + -6w = -4(w + -6) Reorder the terms: 18 + -6w = -4(-6 + w) 18 + -6w = (-6 * -4 + w * -4) 18 + -6w = (24 + -4w) Solving 18 + -6w = 24 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 18 + -6w + 4w = 24 + -4w + 4w Combine like terms: -6w + 4w = -2w 18 + -2w = 24 + -4w + 4w Combine like terms: -4w + 4w = 0 18 + -2w = 24 + 0 18 + -2w = 24 Add '-18' to each side of the equation. 18 + -18 + -2w = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 24 + -18 -2w = 24 + -18 Combine like terms: 24 + -18 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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