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Simplifying 7(u + -7) + -3 = -5(-4u + 8) + -4u Reorder the terms: 7(-7 + u) + -3 = -5(-4u + 8) + -4u (-7 * 7 + u * 7) + -3 = -5(-4u + 8) + -4u (-49 + 7u) + -3 = -5(-4u + 8) + -4u Reorder the terms: -49 + -3 + 7u = -5(-4u + 8) + -4u Combine like terms: -49 + -3 = -52 -52 + 7u = -5(-4u + 8) + -4u Reorder the terms: -52 + 7u = -5(8 + -4u) + -4u -52 + 7u = (8 * -5 + -4u * -5) + -4u -52 + 7u = (-40 + 20u) + -4u Combine like terms: 20u + -4u = 16u -52 + 7u = -40 + 16u Solving -52 + 7u = -40 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -52 + 7u + -16u = -40 + 16u + -16u Combine like terms: 7u + -16u = -9u -52 + -9u = -40 + 16u + -16u Combine like terms: 16u + -16u = 0 -52 + -9u = -40 + 0 -52 + -9u = -40 Add '52' to each side of the equation. -52 + 52 + -9u = -40 + 52 Combine like terms: -52 + 52 = 0 0 + -9u = -40 + 52 -9u = -40 + 52 Combine like terms: -40 + 52 = 12 -9u = 12 Divide each side by '-9'. u = -1.333333333 Simplifying u = -1.333333333
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