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Simplifying 6w + -22 = 4(w + -6) Reorder the terms: -22 + 6w = 4(w + -6) Reorder the terms: -22 + 6w = 4(-6 + w) -22 + 6w = (-6 * 4 + w * 4) -22 + 6w = (-24 + 4w) Solving -22 + 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. -22 + 6w + -4w = -24 + 4w + -4w Combine like terms: 6w + -4w = 2w -22 + 2w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -22 + 2w = -24 + 0 -22 + 2w = -24 Add '22' to each side of the equation. -22 + 22 + 2w = -24 + 22 Combine like terms: -22 + 22 = 0 0 + 2w = -24 + 22 2w = -24 + 22 Combine like terms: -24 + 22 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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