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Simplifying -1(3w + -6) + 4 + w = 0 Reorder the terms: -1(-6 + 3w) + 4 + w = 0 (-6 * -1 + 3w * -1) + 4 + w = 0 (6 + -3w) + 4 + w = 0 Reorder the terms: 6 + 4 + -3w + w = 0 Combine like terms: 6 + 4 = 10 10 + -3w + w = 0 Combine like terms: -3w + w = -2w 10 + -2w = 0 Solving 10 + -2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 0 + -10 -2w = 0 + -10 Combine like terms: 0 + -10 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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