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Simplifying 4(w + -2) + -7w = 0 Reorder the terms: 4(-2 + w) + -7w = 0 (-2 * 4 + w * 4) + -7w = 0 (-8 + 4w) + -7w = 0 Combine like terms: 4w + -7w = -3w -8 + -3w = 0 Solving -8 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = 0 + 8 -3w = 0 + 8 Combine like terms: 0 + 8 = 8 -3w = 8 Divide each side by '-3'. w = -2.666666667 Simplifying w = -2.666666667
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