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Simplifying 26 + -2w + 2 = 8w + -16 + 2w Reorder the terms: 26 + 2 + -2w = 8w + -16 + 2w Combine like terms: 26 + 2 = 28 28 + -2w = 8w + -16 + 2w Reorder the terms: 28 + -2w = -16 + 8w + 2w Combine like terms: 8w + 2w = 10w 28 + -2w = -16 + 10w Solving 28 + -2w = -16 + 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. 28 + -2w + -10w = -16 + 10w + -10w Combine like terms: -2w + -10w = -12w 28 + -12w = -16 + 10w + -10w Combine like terms: 10w + -10w = 0 28 + -12w = -16 + 0 28 + -12w = -16 Add '-28' to each side of the equation. 28 + -28 + -12w = -16 + -28 Combine like terms: 28 + -28 = 0 0 + -12w = -16 + -28 -12w = -16 + -28 Combine like terms: -16 + -28 = -44 -12w = -44 Divide each side by '-12'. w = 3.666666667 Simplifying w = 3.666666667
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