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Simplifying 6w + 2(w + -1) + 1 = 5(u + 6) + -1u Reorder the terms: 6w + 2(-1 + w) + 1 = 5(u + 6) + -1u 6w + (-1 * 2 + w * 2) + 1 = 5(u + 6) + -1u 6w + (-2 + 2w) + 1 = 5(u + 6) + -1u Reorder the terms: -2 + 1 + 6w + 2w = 5(u + 6) + -1u Combine like terms: -2 + 1 = -1 -1 + 6w + 2w = 5(u + 6) + -1u Combine like terms: 6w + 2w = 8w -1 + 8w = 5(u + 6) + -1u Reorder the terms: -1 + 8w = 5(6 + u) + -1u -1 + 8w = (6 * 5 + u * 5) + -1u -1 + 8w = (30 + 5u) + -1u Combine like terms: 5u + -1u = 4u -1 + 8w = 30 + 4u Solving -1 + 8w = 30 + 4u Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8w = 30 + 1 + 4u Combine like terms: -1 + 1 = 0 0 + 8w = 30 + 1 + 4u 8w = 30 + 1 + 4u Combine like terms: 30 + 1 = 31 8w = 31 + 4u Divide each side by '8'. w = 3.875 + 0.5u Simplifying w = 3.875 + 0.5u
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