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Simplifying -3(-6w + 5) + -1w = 3(w + -6) + -5 Reorder the terms: -3(5 + -6w) + -1w = 3(w + -6) + -5 (5 * -3 + -6w * -3) + -1w = 3(w + -6) + -5 (-15 + 18w) + -1w = 3(w + -6) + -5 Combine like terms: 18w + -1w = 17w -15 + 17w = 3(w + -6) + -5 Reorder the terms: -15 + 17w = 3(-6 + w) + -5 -15 + 17w = (-6 * 3 + w * 3) + -5 -15 + 17w = (-18 + 3w) + -5 Reorder the terms: -15 + 17w = -18 + -5 + 3w Combine like terms: -18 + -5 = -23 -15 + 17w = -23 + 3w Solving -15 + 17w = -23 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -15 + 17w + -3w = -23 + 3w + -3w Combine like terms: 17w + -3w = 14w -15 + 14w = -23 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + 14w = -23 + 0 -15 + 14w = -23 Add '15' to each side of the equation. -15 + 15 + 14w = -23 + 15 Combine like terms: -15 + 15 = 0 0 + 14w = -23 + 15 14w = -23 + 15 Combine like terms: -23 + 15 = -8 14w = -8 Divide each side by '14'. w = -0.5714285714 Simplifying w = -0.5714285714
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