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Simplifying 4w + -1(7w + -6) = 0 Reorder the terms: 4w + -1(-6 + 7w) = 0 4w + (-6 * -1 + 7w * -1) = 0 4w + (6 + -7w) = 0 Reorder the terms: 6 + 4w + -7w = 0 Combine like terms: 4w + -7w = -3w 6 + -3w = 0 Solving 6 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3w = 0 + -6 -3w = 0 + -6 Combine like terms: 0 + -6 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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