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Simplifying 7(u + -3) + -7 = -3(-8u + 8) + -9u Reorder the terms: 7(-3 + u) + -7 = -3(-8u + 8) + -9u (-3 * 7 + u * 7) + -7 = -3(-8u + 8) + -9u (-21 + 7u) + -7 = -3(-8u + 8) + -9u Reorder the terms: -21 + -7 + 7u = -3(-8u + 8) + -9u Combine like terms: -21 + -7 = -28 -28 + 7u = -3(-8u + 8) + -9u Reorder the terms: -28 + 7u = -3(8 + -8u) + -9u -28 + 7u = (8 * -3 + -8u * -3) + -9u -28 + 7u = (-24 + 24u) + -9u Combine like terms: 24u + -9u = 15u -28 + 7u = -24 + 15u Solving -28 + 7u = -24 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -28 + 7u + -15u = -24 + 15u + -15u Combine like terms: 7u + -15u = -8u -28 + -8u = -24 + 15u + -15u Combine like terms: 15u + -15u = 0 -28 + -8u = -24 + 0 -28 + -8u = -24 Add '28' to each side of the equation. -28 + 28 + -8u = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -8u = -24 + 28 -8u = -24 + 28 Combine like terms: -24 + 28 = 4 -8u = 4 Divide each side by '-8'. u = -0.5 Simplifying u = -0.5
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