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Simplifying 46 = 2(1 + -10) + 2w Combine like terms: 1 + -10 = -9 46 = 2(-9) + 2w Multiply 2 * -9 46 = -18 + 2w Solving 46 = -18 + 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. 46 + -2w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 46 + -2w = -18 + 0 46 + -2w = -18 Add '-46' to each side of the equation. 46 + -46 + -2w = -18 + -46 Combine like terms: 46 + -46 = 0 0 + -2w = -18 + -46 -2w = -18 + -46 Combine like terms: -18 + -46 = -64 -2w = -64 Divide each side by '-2'. w = 32 Simplifying w = 32
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