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Simplifying -14 + 2w + -4(3w + 8) = -26 Reorder the terms: -14 + 2w + -4(8 + 3w) = -26 -14 + 2w + (8 * -4 + 3w * -4) = -26 -14 + 2w + (-32 + -12w) = -26 Reorder the terms: -14 + -32 + 2w + -12w = -26 Combine like terms: -14 + -32 = -46 -46 + 2w + -12w = -26 Combine like terms: 2w + -12w = -10w -46 + -10w = -26 Solving -46 + -10w = -26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -10w = -26 + 46 Combine like terms: -46 + 46 = 0 0 + -10w = -26 + 46 -10w = -26 + 46 Combine like terms: -26 + 46 = 20 -10w = 20 Divide each side by '-10'. w = -2 Simplifying w = -2
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