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Simplifying 6(u + -1) + -3 = -7(-4u + 1) + -4u Reorder the terms: 6(-1 + u) + -3 = -7(-4u + 1) + -4u (-1 * 6 + u * 6) + -3 = -7(-4u + 1) + -4u (-6 + 6u) + -3 = -7(-4u + 1) + -4u Reorder the terms: -6 + -3 + 6u = -7(-4u + 1) + -4u Combine like terms: -6 + -3 = -9 -9 + 6u = -7(-4u + 1) + -4u Reorder the terms: -9 + 6u = -7(1 + -4u) + -4u -9 + 6u = (1 * -7 + -4u * -7) + -4u -9 + 6u = (-7 + 28u) + -4u Combine like terms: 28u + -4u = 24u -9 + 6u = -7 + 24u Solving -9 + 6u = -7 + 24u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-24u' to each side of the equation. -9 + 6u + -24u = -7 + 24u + -24u Combine like terms: 6u + -24u = -18u -9 + -18u = -7 + 24u + -24u Combine like terms: 24u + -24u = 0 -9 + -18u = -7 + 0 -9 + -18u = -7 Add '9' to each side of the equation. -9 + 9 + -18u = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -18u = -7 + 9 -18u = -7 + 9 Combine like terms: -7 + 9 = 2 -18u = 2 Divide each side by '-18'. u = -0.1111111111 Simplifying u = -0.1111111111
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