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Simplifying -3(w + -6) + 7w + 1 = 0 Reorder the terms: -3(-6 + w) + 7w + 1 = 0 (-6 * -3 + w * -3) + 7w + 1 = 0 (18 + -3w) + 7w + 1 = 0 Reorder the terms: 18 + 1 + -3w + 7w = 0 Combine like terms: 18 + 1 = 19 19 + -3w + 7w = 0 Combine like terms: -3w + 7w = 4w 19 + 4w = 0 Solving 19 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4w = 0 + -19 4w = 0 + -19 Combine like terms: 0 + -19 = -19 4w = -19 Divide each side by '4'. w = -4.75 Simplifying w = -4.75
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