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Simplifying 38 + -2(2w + 1) = 6w + -2(6 + w) Reorder the terms: 38 + -2(1 + 2w) = 6w + -2(6 + w) 38 + (1 * -2 + 2w * -2) = 6w + -2(6 + w) 38 + (-2 + -4w) = 6w + -2(6 + w) Combine like terms: 38 + -2 = 36 36 + -4w = 6w + -2(6 + w) 36 + -4w = 6w + (6 * -2 + w * -2) 36 + -4w = 6w + (-12 + -2w) Reorder the terms: 36 + -4w = -12 + 6w + -2w Combine like terms: 6w + -2w = 4w 36 + -4w = -12 + 4w Solving 36 + -4w = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 36 + -4w + -4w = -12 + 4w + -4w Combine like terms: -4w + -4w = -8w 36 + -8w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 36 + -8w = -12 + 0 36 + -8w = -12 Add '-36' to each side of the equation. 36 + -36 + -8w = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -8w = -12 + -36 -8w = -12 + -36 Combine like terms: -12 + -36 = -48 -8w = -48 Divide each side by '-8'. w = 6 Simplifying w = 6
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