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Simplifying 6w + -6 = 4(w + -6) Reorder the terms: -6 + 6w = 4(w + -6) Reorder the terms: -6 + 6w = 4(-6 + w) -6 + 6w = (-6 * 4 + w * 4) -6 + 6w = (-24 + 4w) Solving -6 + 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. -6 + 6w + -4w = -24 + 4w + -4w Combine like terms: 6w + -4w = 2w -6 + 2w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + 2w = -24 + 0 -6 + 2w = -24 Add '6' to each side of the equation. -6 + 6 + 2w = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = -24 + 6 2w = -24 + 6 Combine like terms: -24 + 6 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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