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Simplifying 5(u + -3) + -7 = -4(-2u + 9) + -7u Reorder the terms: 5(-3 + u) + -7 = -4(-2u + 9) + -7u (-3 * 5 + u * 5) + -7 = -4(-2u + 9) + -7u (-15 + 5u) + -7 = -4(-2u + 9) + -7u Reorder the terms: -15 + -7 + 5u = -4(-2u + 9) + -7u Combine like terms: -15 + -7 = -22 -22 + 5u = -4(-2u + 9) + -7u Reorder the terms: -22 + 5u = -4(9 + -2u) + -7u -22 + 5u = (9 * -4 + -2u * -4) + -7u -22 + 5u = (-36 + 8u) + -7u Combine like terms: 8u + -7u = 1u -22 + 5u = -36 + 1u Solving -22 + 5u = -36 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -22 + 5u + -1u = -36 + 1u + -1u Combine like terms: 5u + -1u = 4u -22 + 4u = -36 + 1u + -1u Combine like terms: 1u + -1u = 0 -22 + 4u = -36 + 0 -22 + 4u = -36 Add '22' to each side of the equation. -22 + 22 + 4u = -36 + 22 Combine like terms: -22 + 22 = 0 0 + 4u = -36 + 22 4u = -36 + 22 Combine like terms: -36 + 22 = -14 4u = -14 Divide each side by '4'. u = -3.5 Simplifying u = -3.5
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