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Simplifying 4(u + -1) = u + 2 + -3(-5u + -3) Reorder the terms: 4(-1 + u) = u + 2 + -3(-5u + -3) (-1 * 4 + u * 4) = u + 2 + -3(-5u + -3) (-4 + 4u) = u + 2 + -3(-5u + -3) Reorder the terms: -4 + 4u = u + 2 + -3(-3 + -5u) -4 + 4u = u + 2 + (-3 * -3 + -5u * -3) -4 + 4u = u + 2 + (9 + 15u) Reorder the terms: -4 + 4u = 2 + 9 + u + 15u Combine like terms: 2 + 9 = 11 -4 + 4u = 11 + u + 15u Combine like terms: u + 15u = 16u -4 + 4u = 11 + 16u Solving -4 + 4u = 11 + 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. -4 + 4u + -16u = 11 + 16u + -16u Combine like terms: 4u + -16u = -12u -4 + -12u = 11 + 16u + -16u Combine like terms: 16u + -16u = 0 -4 + -12u = 11 + 0 -4 + -12u = 11 Add '4' to each side of the equation. -4 + 4 + -12u = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -12u = 11 + 4 -12u = 11 + 4 Combine like terms: 11 + 4 = 15 -12u = 15 Divide each side by '-12'. u = -1.25 Simplifying u = -1.25
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