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Simplifying -6(-4u + 8) + -9u = 7(u + -7) + -1 Reorder the terms: -6(8 + -4u) + -9u = 7(u + -7) + -1 (8 * -6 + -4u * -6) + -9u = 7(u + -7) + -1 (-48 + 24u) + -9u = 7(u + -7) + -1 Combine like terms: 24u + -9u = 15u -48 + 15u = 7(u + -7) + -1 Reorder the terms: -48 + 15u = 7(-7 + u) + -1 -48 + 15u = (-7 * 7 + u * 7) + -1 -48 + 15u = (-49 + 7u) + -1 Reorder the terms: -48 + 15u = -49 + -1 + 7u Combine like terms: -49 + -1 = -50 -48 + 15u = -50 + 7u Solving -48 + 15u = -50 + 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 + 15u + -7u = -50 + 7u + -7u Combine like terms: 15u + -7u = 8u -48 + 8u = -50 + 7u + -7u Combine like terms: 7u + -7u = 0 -48 + 8u = -50 + 0 -48 + 8u = -50 Add '48' to each side of the equation. -48 + 48 + 8u = -50 + 48 Combine like terms: -48 + 48 = 0 0 + 8u = -50 + 48 8u = -50 + 48 Combine like terms: -50 + 48 = -2 8u = -2 Divide each side by '8'. u = -0.25 Simplifying u = -0.25
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