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Simplifying 2(-1w + 11) = -13 + 2w Reorder the terms: 2(11 + -1w) = -13 + 2w (11 * 2 + -1w * 2) = -13 + 2w (22 + -2w) = -13 + 2w Solving 22 + -2w = -13 + 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. 22 + -2w + -2w = -13 + 2w + -2w Combine like terms: -2w + -2w = -4w 22 + -4w = -13 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + -4w = -13 + 0 22 + -4w = -13 Add '-22' to each side of the equation. 22 + -22 + -4w = -13 + -22 Combine like terms: 22 + -22 = 0 0 + -4w = -13 + -22 -4w = -13 + -22 Combine like terms: -13 + -22 = -35 -4w = -35 Divide each side by '-4'. w = 8.75 Simplifying w = 8.75
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