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Simplifying -7(-4u + 6) + -4u = 6(u + -7) + -9 Reorder the terms: -7(6 + -4u) + -4u = 6(u + -7) + -9 (6 * -7 + -4u * -7) + -4u = 6(u + -7) + -9 (-42 + 28u) + -4u = 6(u + -7) + -9 Combine like terms: 28u + -4u = 24u -42 + 24u = 6(u + -7) + -9 Reorder the terms: -42 + 24u = 6(-7 + u) + -9 -42 + 24u = (-7 * 6 + u * 6) + -9 -42 + 24u = (-42 + 6u) + -9 Reorder the terms: -42 + 24u = -42 + -9 + 6u Combine like terms: -42 + -9 = -51 -42 + 24u = -51 + 6u Solving -42 + 24u = -51 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -42 + 24u + -6u = -51 + 6u + -6u Combine like terms: 24u + -6u = 18u -42 + 18u = -51 + 6u + -6u Combine like terms: 6u + -6u = 0 -42 + 18u = -51 + 0 -42 + 18u = -51 Add '42' to each side of the equation. -42 + 42 + 18u = -51 + 42 Combine like terms: -42 + 42 = 0 0 + 18u = -51 + 42 18u = -51 + 42 Combine like terms: -51 + 42 = -9 18u = -9 Divide each side by '18'. u = -0.5 Simplifying u = -0.5
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