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Simplifying 8(4u + -7) + -8u = -2(u + 2) Reorder the terms: 8(-7 + 4u) + -8u = -2(u + 2) (-7 * 8 + 4u * 8) + -8u = -2(u + 2) (-56 + 32u) + -8u = -2(u + 2) Combine like terms: 32u + -8u = 24u -56 + 24u = -2(u + 2) Reorder the terms: -56 + 24u = -2(2 + u) -56 + 24u = (2 * -2 + u * -2) -56 + 24u = (-4 + -2u) Solving -56 + 24u = -4 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -56 + 24u + 2u = -4 + -2u + 2u Combine like terms: 24u + 2u = 26u -56 + 26u = -4 + -2u + 2u Combine like terms: -2u + 2u = 0 -56 + 26u = -4 + 0 -56 + 26u = -4 Add '56' to each side of the equation. -56 + 56 + 26u = -4 + 56 Combine like terms: -56 + 56 = 0 0 + 26u = -4 + 56 26u = -4 + 56 Combine like terms: -4 + 56 = 52 26u = 52 Divide each side by '26'. u = 2 Simplifying u = 2
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