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Simplifying 5(u + -3) + -7 = -9 + u + -1 Reorder the terms: 5(-3 + u) + -7 = -9 + u + -1 (-3 * 5 + u * 5) + -7 = -9 + u + -1 (-15 + 5u) + -7 = -9 + u + -1 Reorder the terms: -15 + -7 + 5u = -9 + u + -1 Combine like terms: -15 + -7 = -22 -22 + 5u = -9 + u + -1 Reorder the terms: -22 + 5u = -9 + -1 + u Combine like terms: -9 + -1 = -10 -22 + 5u = -10 + u Solving -22 + 5u = -10 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -22 + 5u + -1u = -10 + u + -1u Combine like terms: 5u + -1u = 4u -22 + 4u = -10 + u + -1u Combine like terms: u + -1u = 0 -22 + 4u = -10 + 0 -22 + 4u = -10 Add '22' to each side of the equation. -22 + 22 + 4u = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 4u = -10 + 22 4u = -10 + 22 Combine like terms: -10 + 22 = 12 4u = 12 Divide each side by '4'. u = 3 Simplifying u = 3
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