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Simplifying -4w + -22 = -6(w + 1) Reorder the terms: -22 + -4w = -6(w + 1) Reorder the terms: -22 + -4w = -6(1 + w) -22 + -4w = (1 * -6 + w * -6) -22 + -4w = (-6 + -6w) Solving -22 + -4w = -6 + -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. -22 + -4w + 6w = -6 + -6w + 6w Combine like terms: -4w + 6w = 2w -22 + 2w = -6 + -6w + 6w Combine like terms: -6w + 6w = 0 -22 + 2w = -6 + 0 -22 + 2w = -6 Add '22' to each side of the equation. -22 + 22 + 2w = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 2w = -6 + 22 2w = -6 + 22 Combine like terms: -6 + 22 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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