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Simplifying 2w + (-20w) + -1(-14w) + (-10w) + (-20) = 8 Remove parenthesis around (-14w) 2w + (-20w) + -1 * -14w + (-10w) + (-20) = 8 Multiply -1 * -14 2w + (-20w) + 14w + (-10w) + (-20) = 8 2w + (-20w) + 14w + (-10w) + -20 = 8 Reorder the terms: -20 + 2w + (-20w) + 14w + (-10w) = 8 Combine like terms: 2w + (-20w) = -18w -20 + -18w + 14w + (-10w) = 8 Combine like terms: -18w + 14w = -4w -20 + -4w + (-10w) = 8 Combine like terms: -4w + (-10w) = -14w -20 + -14w = 8 Solving -20 + -14w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -14w = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -14w = 8 + 20 -14w = 8 + 20 Combine like terms: 8 + 20 = 28 -14w = 28 Divide each side by '-14'. w = -2 Simplifying w = -2
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