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Simplifying 4(w + 7) = -2w + -26 Reorder the terms: 4(7 + w) = -2w + -26 (7 * 4 + w * 4) = -2w + -26 (28 + 4w) = -2w + -26 Reorder the terms: 28 + 4w = -26 + -2w Solving 28 + 4w = -26 + -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. 28 + 4w + 2w = -26 + -2w + 2w Combine like terms: 4w + 2w = 6w 28 + 6w = -26 + -2w + 2w Combine like terms: -2w + 2w = 0 28 + 6w = -26 + 0 28 + 6w = -26 Add '-28' to each side of the equation. 28 + -28 + 6w = -26 + -28 Combine like terms: 28 + -28 = 0 0 + 6w = -26 + -28 6w = -26 + -28 Combine like terms: -26 + -28 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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