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Simplifying 4 + -4(2w + -4) = 3w + -13 Reorder the terms: 4 + -4(-4 + 2w) = 3w + -13 4 + (-4 * -4 + 2w * -4) = 3w + -13 4 + (16 + -8w) = 3w + -13 Combine like terms: 4 + 16 = 20 20 + -8w = 3w + -13 Reorder the terms: 20 + -8w = -13 + 3w Solving 20 + -8w = -13 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 20 + -8w + -3w = -13 + 3w + -3w Combine like terms: -8w + -3w = -11w 20 + -11w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + -11w = -13 + 0 20 + -11w = -13 Add '-20' to each side of the equation. 20 + -20 + -11w = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -11w = -13 + -20 -11w = -13 + -20 Combine like terms: -13 + -20 = -33 -11w = -33 Divide each side by '-11'. w = 3 Simplifying w = 3
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