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Simplifying 4(u + -7) + -3 = -4(-4u + 7) + -6u Reorder the terms: 4(-7 + u) + -3 = -4(-4u + 7) + -6u (-7 * 4 + u * 4) + -3 = -4(-4u + 7) + -6u (-28 + 4u) + -3 = -4(-4u + 7) + -6u Reorder the terms: -28 + -3 + 4u = -4(-4u + 7) + -6u Combine like terms: -28 + -3 = -31 -31 + 4u = -4(-4u + 7) + -6u Reorder the terms: -31 + 4u = -4(7 + -4u) + -6u -31 + 4u = (7 * -4 + -4u * -4) + -6u -31 + 4u = (-28 + 16u) + -6u Combine like terms: 16u + -6u = 10u -31 + 4u = -28 + 10u Solving -31 + 4u = -28 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -31 + 4u + -10u = -28 + 10u + -10u Combine like terms: 4u + -10u = -6u -31 + -6u = -28 + 10u + -10u Combine like terms: 10u + -10u = 0 -31 + -6u = -28 + 0 -31 + -6u = -28 Add '31' to each side of the equation. -31 + 31 + -6u = -28 + 31 Combine like terms: -31 + 31 = 0 0 + -6u = -28 + 31 -6u = -28 + 31 Combine like terms: -28 + 31 = 3 -6u = 3 Divide each side by '-6'. u = -0.5 Simplifying u = -0.5
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