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Simplifying 26 + -2(2w + 2) = 4(w + 2) + 6w Reorder the terms: 26 + -2(2 + 2w) = 4(w + 2) + 6w 26 + (2 * -2 + 2w * -2) = 4(w + 2) + 6w 26 + (-4 + -4w) = 4(w + 2) + 6w Combine like terms: 26 + -4 = 22 22 + -4w = 4(w + 2) + 6w Reorder the terms: 22 + -4w = 4(2 + w) + 6w 22 + -4w = (2 * 4 + w * 4) + 6w 22 + -4w = (8 + 4w) + 6w Combine like terms: 4w + 6w = 10w 22 + -4w = 8 + 10w Solving 22 + -4w = 8 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 22 + -4w + -10w = 8 + 10w + -10w Combine like terms: -4w + -10w = -14w 22 + -14w = 8 + 10w + -10w Combine like terms: 10w + -10w = 0 22 + -14w = 8 + 0 22 + -14w = 8 Add '-22' to each side of the equation. 22 + -22 + -14w = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -14w = 8 + -22 -14w = 8 + -22 Combine like terms: 8 + -22 = -14 -14w = -14 Divide each side by '-14'. w = 1 Simplifying w = 1
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