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Simplifying -7w + -2 = -2(w + -4) Reorder the terms: -2 + -7w = -2(w + -4) Reorder the terms: -2 + -7w = -2(-4 + w) -2 + -7w = (-4 * -2 + w * -2) -2 + -7w = (8 + -2w) Solving -2 + -7w = 8 + -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. -2 + -7w + 2w = 8 + -2w + 2w Combine like terms: -7w + 2w = -5w -2 + -5w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + -5w = 8 + 0 -2 + -5w = 8 Add '2' to each side of the equation. -2 + 2 + -5w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = 8 + 2 -5w = 8 + 2 Combine like terms: 8 + 2 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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