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Simplifying 8u + -22 = -7(u + 1) Reorder the terms: -22 + 8u = -7(u + 1) Reorder the terms: -22 + 8u = -7(1 + u) -22 + 8u = (1 * -7 + u * -7) -22 + 8u = (-7 + -7u) Solving -22 + 8u = -7 + -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. -22 + 8u + 7u = -7 + -7u + 7u Combine like terms: 8u + 7u = 15u -22 + 15u = -7 + -7u + 7u Combine like terms: -7u + 7u = 0 -22 + 15u = -7 + 0 -22 + 15u = -7 Add '22' to each side of the equation. -22 + 22 + 15u = -7 + 22 Combine like terms: -22 + 22 = 0 0 + 15u = -7 + 22 15u = -7 + 22 Combine like terms: -7 + 22 = 15 15u = 15 Divide each side by '15'. u = 1 Simplifying u = 1
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