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Simplifying -14 = 5(w + -6) + -3w Reorder the terms: -14 = 5(-6 + w) + -3w -14 = (-6 * 5 + w * 5) + -3w -14 = (-30 + 5w) + -3w Combine like terms: 5w + -3w = 2w -14 = -30 + 2w Solving -14 = -30 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -14 + -2w = -30 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + -2w = -30 + 0 -14 + -2w = -30 Add '14' to each side of the equation. -14 + 14 + -2w = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -30 + 14 -2w = -30 + 14 Combine like terms: -30 + 14 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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