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Simplifying 3(w + -6) + -7w = 0 Reorder the terms: 3(-6 + w) + -7w = 0 (-6 * 3 + w * 3) + -7w = 0 (-18 + 3w) + -7w = 0 Combine like terms: 3w + -7w = -4w -18 + -4w = 0 Solving -18 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = 0 + 18 -4w = 0 + 18 Combine like terms: 0 + 18 = 18 -4w = 18 Divide each side by '-4'. w = -4.5 Simplifying w = -4.5
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