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Simplifying 11 + -2(d + -1) = (-2d) + 13w Reorder the terms: 11 + -2(-1 + d) = (-2d) + 13w 11 + (-1 * -2 + d * -2) = (-2d) + 13w 11 + (2 + -2d) = (-2d) + 13w Combine like terms: 11 + 2 = 13 13 + -2d = (-2d) + 13w Add '2d' to each side of the equation. 13 + -2d + 2d = (-2d) + 2d + 13w Combine like terms: -2d + 2d = 0 13 + 0 = (-2d) + 2d + 13w 13 = (-2d) + 2d + 13w Combine like terms: (-2d) + 2d = 0 13 = 0 + 13w 13 = 13w Solving 13 = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 13 + -13w = 13w + -13w Combine like terms: 13w + -13w = 0 13 + -13w = 0 Add '-13' to each side of the equation. 13 + -13 + -13w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13w = 0 + -13 -13w = 0 + -13 Combine like terms: 0 + -13 = -13 -13w = -13 Divide each side by '-13'. w = 1 Simplifying w = 1
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