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Simplifying -6(-4u + 9) + -8u = 7(u + -6) + -6 Reorder the terms: -6(9 + -4u) + -8u = 7(u + -6) + -6 (9 * -6 + -4u * -6) + -8u = 7(u + -6) + -6 (-54 + 24u) + -8u = 7(u + -6) + -6 Combine like terms: 24u + -8u = 16u -54 + 16u = 7(u + -6) + -6 Reorder the terms: -54 + 16u = 7(-6 + u) + -6 -54 + 16u = (-6 * 7 + u * 7) + -6 -54 + 16u = (-42 + 7u) + -6 Reorder the terms: -54 + 16u = -42 + -6 + 7u Combine like terms: -42 + -6 = -48 -54 + 16u = -48 + 7u Solving -54 + 16u = -48 + 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. -54 + 16u + -7u = -48 + 7u + -7u Combine like terms: 16u + -7u = 9u -54 + 9u = -48 + 7u + -7u Combine like terms: 7u + -7u = 0 -54 + 9u = -48 + 0 -54 + 9u = -48 Add '54' to each side of the equation. -54 + 54 + 9u = -48 + 54 Combine like terms: -54 + 54 = 0 0 + 9u = -48 + 54 9u = -48 + 54 Combine like terms: -48 + 54 = 6 9u = 6 Divide each side by '9'. u = 0.6666666667 Simplifying u = 0.6666666667
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