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Simplifying 9u + -45 = 3(1[u + -7] * 1) Reorder the terms: -45 + 9u = 3(1[u + -7] * 1) Reorder the terms: -45 + 9u = 3(1[-7 + u] * 1) Reorder the terms for easier multiplication: -45 + 9u = 3(1 * 1[-7 + u]) Multiply 1 * 1 -45 + 9u = 3(1[-7 + u]) -45 + 9u = 3([-7 * 1 + u * 1]) -45 + 9u = 3([-7 + 1u]) -45 + 9u = (-7 * 3 + 1u * 3) -45 + 9u = (-21 + 3u) Solving -45 + 9u = -21 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -45 + 9u + -3u = -21 + 3u + -3u Combine like terms: 9u + -3u = 6u -45 + 6u = -21 + 3u + -3u Combine like terms: 3u + -3u = 0 -45 + 6u = -21 + 0 -45 + 6u = -21 Add '45' to each side of the equation. -45 + 45 + 6u = -21 + 45 Combine like terms: -45 + 45 = 0 0 + 6u = -21 + 45 6u = -21 + 45 Combine like terms: -21 + 45 = 24 6u = 24 Divide each side by '6'. u = 4 Simplifying u = 4
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