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Simplifying 2(-2w + -7) + 4(7w) = 0 Reorder the terms: 2(-7 + -2w) + 4(7w) = 0 (-7 * 2 + -2w * 2) + 4(7w) = 0 (-14 + -4w) + 4(7w) = 0 Remove parenthesis around (7w) -14 + -4w + 4 * 7w = 0 Multiply 4 * 7 -14 + -4w + 28w = 0 Combine like terms: -4w + 28w = 24w -14 + 24w = 0 Solving -14 + 24w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 24w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 24w = 0 + 14 24w = 0 + 14 Combine like terms: 0 + 14 = 14 24w = 14 Divide each side by '24'. w = 0.5833333333 Simplifying w = 0.5833333333
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