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Simplifying 7(u + -5) + -4 = -4(-4u + 6) + -3u Reorder the terms: 7(-5 + u) + -4 = -4(-4u + 6) + -3u (-5 * 7 + u * 7) + -4 = -4(-4u + 6) + -3u (-35 + 7u) + -4 = -4(-4u + 6) + -3u Reorder the terms: -35 + -4 + 7u = -4(-4u + 6) + -3u Combine like terms: -35 + -4 = -39 -39 + 7u = -4(-4u + 6) + -3u Reorder the terms: -39 + 7u = -4(6 + -4u) + -3u -39 + 7u = (6 * -4 + -4u * -4) + -3u -39 + 7u = (-24 + 16u) + -3u Combine like terms: 16u + -3u = 13u -39 + 7u = -24 + 13u Solving -39 + 7u = -24 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -39 + 7u + -13u = -24 + 13u + -13u Combine like terms: 7u + -13u = -6u -39 + -6u = -24 + 13u + -13u Combine like terms: 13u + -13u = 0 -39 + -6u = -24 + 0 -39 + -6u = -24 Add '39' to each side of the equation. -39 + 39 + -6u = -24 + 39 Combine like terms: -39 + 39 = 0 0 + -6u = -24 + 39 -6u = -24 + 39 Combine like terms: -24 + 39 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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