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Simplifying 4(u + -6) + -1 = -5(-4u + 2) + -4u Reorder the terms: 4(-6 + u) + -1 = -5(-4u + 2) + -4u (-6 * 4 + u * 4) + -1 = -5(-4u + 2) + -4u (-24 + 4u) + -1 = -5(-4u + 2) + -4u Reorder the terms: -24 + -1 + 4u = -5(-4u + 2) + -4u Combine like terms: -24 + -1 = -25 -25 + 4u = -5(-4u + 2) + -4u Reorder the terms: -25 + 4u = -5(2 + -4u) + -4u -25 + 4u = (2 * -5 + -4u * -5) + -4u -25 + 4u = (-10 + 20u) + -4u Combine like terms: 20u + -4u = 16u -25 + 4u = -10 + 16u Solving -25 + 4u = -10 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -25 + 4u + -16u = -10 + 16u + -16u Combine like terms: 4u + -16u = -12u -25 + -12u = -10 + 16u + -16u Combine like terms: 16u + -16u = 0 -25 + -12u = -10 + 0 -25 + -12u = -10 Add '25' to each side of the equation. -25 + 25 + -12u = -10 + 25 Combine like terms: -25 + 25 = 0 0 + -12u = -10 + 25 -12u = -10 + 25 Combine like terms: -10 + 25 = 15 -12u = 15 Divide each side by '-12'. u = -1.25 Simplifying u = -1.25
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