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Simplifying 5(w + 6) = -6(2w + -2) + 3w Reorder the terms: 5(6 + w) = -6(2w + -2) + 3w (6 * 5 + w * 5) = -6(2w + -2) + 3w (30 + 5w) = -6(2w + -2) + 3w Reorder the terms: 30 + 5w = -6(-2 + 2w) + 3w 30 + 5w = (-2 * -6 + 2w * -6) + 3w 30 + 5w = (12 + -12w) + 3w Combine like terms: -12w + 3w = -9w 30 + 5w = 12 + -9w Solving 30 + 5w = 12 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 30 + 5w + 9w = 12 + -9w + 9w Combine like terms: 5w + 9w = 14w 30 + 14w = 12 + -9w + 9w Combine like terms: -9w + 9w = 0 30 + 14w = 12 + 0 30 + 14w = 12 Add '-30' to each side of the equation. 30 + -30 + 14w = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 14w = 12 + -30 14w = 12 + -30 Combine like terms: 12 + -30 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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