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Simplifying 14 + 2(2w + -5) + -7w = 0 Reorder the terms: 14 + 2(-5 + 2w) + -7w = 0 14 + (-5 * 2 + 2w * 2) + -7w = 0 14 + (-10 + 4w) + -7w = 0 Combine like terms: 14 + -10 = 4 4 + 4w + -7w = 0 Combine like terms: 4w + -7w = -3w 4 + -3w = 0 Solving 4 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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