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Simplifying -6(-4u + 8) + -1u = 7(u + -4) + -8 Reorder the terms: -6(8 + -4u) + -1u = 7(u + -4) + -8 (8 * -6 + -4u * -6) + -1u = 7(u + -4) + -8 (-48 + 24u) + -1u = 7(u + -4) + -8 Combine like terms: 24u + -1u = 23u -48 + 23u = 7(u + -4) + -8 Reorder the terms: -48 + 23u = 7(-4 + u) + -8 -48 + 23u = (-4 * 7 + u * 7) + -8 -48 + 23u = (-28 + 7u) + -8 Reorder the terms: -48 + 23u = -28 + -8 + 7u Combine like terms: -28 + -8 = -36 -48 + 23u = -36 + 7u Solving -48 + 23u = -36 + 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. -48 + 23u + -7u = -36 + 7u + -7u Combine like terms: 23u + -7u = 16u -48 + 16u = -36 + 7u + -7u Combine like terms: 7u + -7u = 0 -48 + 16u = -36 + 0 -48 + 16u = -36 Add '48' to each side of the equation. -48 + 48 + 16u = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 16u = -36 + 48 16u = -36 + 48 Combine like terms: -36 + 48 = 12 16u = 12 Divide each side by '16'. u = 0.75 Simplifying u = 0.75
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