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Simplifying 5u + 13 = 9(u + -3) Reorder the terms: 13 + 5u = 9(u + -3) Reorder the terms: 13 + 5u = 9(-3 + u) 13 + 5u = (-3 * 9 + u * 9) 13 + 5u = (-27 + 9u) Solving 13 + 5u = -27 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 13 + 5u + -9u = -27 + 9u + -9u Combine like terms: 5u + -9u = -4u 13 + -4u = -27 + 9u + -9u Combine like terms: 9u + -9u = 0 13 + -4u = -27 + 0 13 + -4u = -27 Add '-13' to each side of the equation. 13 + -13 + -4u = -27 + -13 Combine like terms: 13 + -13 = 0 0 + -4u = -27 + -13 -4u = -27 + -13 Combine like terms: -27 + -13 = -40 -4u = -40 Divide each side by '-4'. u = 10 Simplifying u = 10
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