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Simplifying 7u + -45 = 9(u + -7) Reorder the terms: -45 + 7u = 9(u + -7) Reorder the terms: -45 + 7u = 9(-7 + u) -45 + 7u = (-7 * 9 + u * 9) -45 + 7u = (-63 + 9u) Solving -45 + 7u = -63 + 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. -45 + 7u + -9u = -63 + 9u + -9u Combine like terms: 7u + -9u = -2u -45 + -2u = -63 + 9u + -9u Combine like terms: 9u + -9u = 0 -45 + -2u = -63 + 0 -45 + -2u = -63 Add '45' to each side of the equation. -45 + 45 + -2u = -63 + 45 Combine like terms: -45 + 45 = 0 0 + -2u = -63 + 45 -2u = -63 + 45 Combine like terms: -63 + 45 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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