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Simplifying 8u + -1(2u + 5) = 4(u + 1) + -13 Reorder the terms: 8u + -1(5 + 2u) = 4(u + 1) + -13 8u + (5 * -1 + 2u * -1) = 4(u + 1) + -13 8u + (-5 + -2u) = 4(u + 1) + -13 Reorder the terms: -5 + 8u + -2u = 4(u + 1) + -13 Combine like terms: 8u + -2u = 6u -5 + 6u = 4(u + 1) + -13 Reorder the terms: -5 + 6u = 4(1 + u) + -13 -5 + 6u = (1 * 4 + u * 4) + -13 -5 + 6u = (4 + 4u) + -13 Reorder the terms: -5 + 6u = 4 + -13 + 4u Combine like terms: 4 + -13 = -9 -5 + 6u = -9 + 4u Solving -5 + 6u = -9 + 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. -5 + 6u + -4u = -9 + 4u + -4u Combine like terms: 6u + -4u = 2u -5 + 2u = -9 + 4u + -4u Combine like terms: 4u + -4u = 0 -5 + 2u = -9 + 0 -5 + 2u = -9 Add '5' to each side of the equation. -5 + 5 + 2u = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2u = -9 + 5 2u = -9 + 5 Combine like terms: -9 + 5 = -4 2u = -4 Divide each side by '2'. u = -2 Simplifying u = -2
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