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Simplifying 4u + -1 = 4(4 + -1u) + -1 Reorder the terms: -1 + 4u = 4(4 + -1u) + -1 -1 + 4u = (4 * 4 + -1u * 4) + -1 -1 + 4u = (16 + -4u) + -1 Reorder the terms: -1 + 4u = 16 + -1 + -4u Combine like terms: 16 + -1 = 15 -1 + 4u = 15 + -4u Solving -1 + 4u = 15 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -1 + 4u + 4u = 15 + -4u + 4u Combine like terms: 4u + 4u = 8u -1 + 8u = 15 + -4u + 4u Combine like terms: -4u + 4u = 0 -1 + 8u = 15 + 0 -1 + 8u = 15 Add '1' to each side of the equation. -1 + 1 + 8u = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 8u = 15 + 1 8u = 15 + 1 Combine like terms: 15 + 1 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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