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Simplifying 38 = 6(1[w + 4] * 1) + -8w Reorder the terms: 38 = 6(1[4 + w] * 1) + -8w Reorder the terms for easier multiplication: 38 = 6(1 * 1[4 + w]) + -8w Multiply 1 * 1 38 = 6(1[4 + w]) + -8w 38 = 6([4 * 1 + w * 1]) + -8w 38 = 6([4 + 1w]) + -8w 38 = (4 * 6 + 1w * 6) + -8w 38 = (24 + 6w) + -8w Combine like terms: 6w + -8w = -2w 38 = 24 + -2w Solving 38 = 24 + -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. 38 + 2w = 24 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + 2w = 24 + 0 38 + 2w = 24 Add '-38' to each side of the equation. 38 + -38 + 2w = 24 + -38 Combine like terms: 38 + -38 = 0 0 + 2w = 24 + -38 2w = 24 + -38 Combine like terms: 24 + -38 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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