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Simplifying 10u + 28 + -2(2u + -4) = 1 + 7(u + 5) Reorder the terms: 10u + 28 + -2(-4 + 2u) = 1 + 7(u + 5) 10u + 28 + (-4 * -2 + 2u * -2) = 1 + 7(u + 5) 10u + 28 + (8 + -4u) = 1 + 7(u + 5) Reorder the terms: 28 + 8 + 10u + -4u = 1 + 7(u + 5) Combine like terms: 28 + 8 = 36 36 + 10u + -4u = 1 + 7(u + 5) Combine like terms: 10u + -4u = 6u 36 + 6u = 1 + 7(u + 5) Reorder the terms: 36 + 6u = 1 + 7(5 + u) 36 + 6u = 1 + (5 * 7 + u * 7) 36 + 6u = 1 + (35 + 7u) Combine like terms: 1 + 35 = 36 36 + 6u = 36 + 7u Add '-36' to each side of the equation. 36 + -36 + 6u = 36 + -36 + 7u Combine like terms: 36 + -36 = 0 0 + 6u = 36 + -36 + 7u 6u = 36 + -36 + 7u Combine like terms: 36 + -36 = 0 6u = 0 + 7u 6u = 7u Solving 6u = 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 6u + -7u = 7u + -7u Combine like terms: 6u + -7u = -1u -1u = 7u + -7u Combine like terms: 7u + -7u = 0 -1u = 0 Divide each side by '-1'. u = 0 Simplifying u = 0
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