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Simplifying -7w + -22 = -2(w + 6) Reorder the terms: -22 + -7w = -2(w + 6) Reorder the terms: -22 + -7w = -2(6 + w) -22 + -7w = (6 * -2 + w * -2) -22 + -7w = (-12 + -2w) Solving -22 + -7w = -12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -22 + -7w + 2w = -12 + -2w + 2w Combine like terms: -7w + 2w = -5w -22 + -5w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 -22 + -5w = -12 + 0 -22 + -5w = -12 Add '22' to each side of the equation. -22 + 22 + -5w = -12 + 22 Combine like terms: -22 + 22 = 0 0 + -5w = -12 + 22 -5w = -12 + 22 Combine like terms: -12 + 22 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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