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Simplifying -7(w + 6) = -2w + 8 Reorder the terms: -7(6 + w) = -2w + 8 (6 * -7 + w * -7) = -2w + 8 (-42 + -7w) = -2w + 8 Reorder the terms: -42 + -7w = 8 + -2w Solving -42 + -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. -42 + -7w + 2w = 8 + -2w + 2w Combine like terms: -7w + 2w = -5w -42 + -5w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -42 + -5w = 8 + 0 -42 + -5w = 8 Add '42' to each side of the equation. -42 + 42 + -5w = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -5w = 8 + 42 -5w = 8 + 42 Combine like terms: 8 + 42 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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