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Simplifying -2(-2 + 11) = -13 + 2w + -9 Combine like terms: -2 + 11 = 9 -2(9) = -13 + 2w + -9 Multiply -2 * 9 -18 = -13 + 2w + -9 Reorder the terms: -18 = -13 + -9 + 2w Combine like terms: -13 + -9 = -22 -18 = -22 + 2w Solving -18 = -22 + 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. -18 + -2w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + -2w = -22 + 0 -18 + -2w = -22 Add '18' to each side of the equation. -18 + 18 + -2w = -22 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = -22 + 18 -2w = -22 + 18 Combine like terms: -22 + 18 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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