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Simplifying 2(w + -5) + -1w = 6 + -1w Reorder the terms: 2(-5 + w) + -1w = 6 + -1w (-5 * 2 + w * 2) + -1w = 6 + -1w (-10 + 2w) + -1w = 6 + -1w Combine like terms: 2w + -1w = 1w -10 + 1w = 6 + -1w Solving -10 + 1w = 6 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -10 + 1w + w = 6 + -1w + w Combine like terms: 1w + w = 2w -10 + 2w = 6 + -1w + w Combine like terms: -1w + w = 0 -10 + 2w = 6 + 0 -10 + 2w = 6 Add '10' to each side of the equation. -10 + 10 + 2w = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = 6 + 10 2w = 6 + 10 Combine like terms: 6 + 10 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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