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Simplifying -6 = 2(1w + 5) Reorder the terms: -6 = 2(5 + 1w) -6 = (5 * 2 + 1w * 2) -6 = (10 + 2w) Solving -6 = 10 + 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. -6 + -2w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -2w = 10 + 0 -6 + -2w = 10 Add '6' to each side of the equation. -6 + 6 + -2w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 10 + 6 -2w = 10 + 6 Combine like terms: 10 + 6 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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