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Simplifying 4(w + 6) + -7w = 0 Reorder the terms: 4(6 + w) + -7w = 0 (6 * 4 + w * 4) + -7w = 0 (24 + 4w) + -7w = 0 Combine like terms: 4w + -7w = -3w 24 + -3w = 0 Solving 24 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3w = 0 + -24 -3w = 0 + -24 Combine like terms: 0 + -24 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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