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Simplifying 5(u + -6) + -1 = -7(-4u + 7) + -7u Reorder the terms: 5(-6 + u) + -1 = -7(-4u + 7) + -7u (-6 * 5 + u * 5) + -1 = -7(-4u + 7) + -7u (-30 + 5u) + -1 = -7(-4u + 7) + -7u Reorder the terms: -30 + -1 + 5u = -7(-4u + 7) + -7u Combine like terms: -30 + -1 = -31 -31 + 5u = -7(-4u + 7) + -7u Reorder the terms: -31 + 5u = -7(7 + -4u) + -7u -31 + 5u = (7 * -7 + -4u * -7) + -7u -31 + 5u = (-49 + 28u) + -7u Combine like terms: 28u + -7u = 21u -31 + 5u = -49 + 21u Solving -31 + 5u = -49 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -31 + 5u + -21u = -49 + 21u + -21u Combine like terms: 5u + -21u = -16u -31 + -16u = -49 + 21u + -21u Combine like terms: 21u + -21u = 0 -31 + -16u = -49 + 0 -31 + -16u = -49 Add '31' to each side of the equation. -31 + 31 + -16u = -49 + 31 Combine like terms: -31 + 31 = 0 0 + -16u = -49 + 31 -16u = -49 + 31 Combine like terms: -49 + 31 = -18 -16u = -18 Divide each side by '-16'. u = 1.125 Simplifying u = 1.125
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