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Simplifying 4(u + -7) + -5 = -3(-7u + 5) + -7u Reorder the terms: 4(-7 + u) + -5 = -3(-7u + 5) + -7u (-7 * 4 + u * 4) + -5 = -3(-7u + 5) + -7u (-28 + 4u) + -5 = -3(-7u + 5) + -7u Reorder the terms: -28 + -5 + 4u = -3(-7u + 5) + -7u Combine like terms: -28 + -5 = -33 -33 + 4u = -3(-7u + 5) + -7u Reorder the terms: -33 + 4u = -3(5 + -7u) + -7u -33 + 4u = (5 * -3 + -7u * -3) + -7u -33 + 4u = (-15 + 21u) + -7u Combine like terms: 21u + -7u = 14u -33 + 4u = -15 + 14u Solving -33 + 4u = -15 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -33 + 4u + -14u = -15 + 14u + -14u Combine like terms: 4u + -14u = -10u -33 + -10u = -15 + 14u + -14u Combine like terms: 14u + -14u = 0 -33 + -10u = -15 + 0 -33 + -10u = -15 Add '33' to each side of the equation. -33 + 33 + -10u = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -10u = -15 + 33 -10u = -15 + 33 Combine like terms: -15 + 33 = 18 -10u = 18 Divide each side by '-10'. u = -1.8 Simplifying u = -1.8
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