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Simplifying 2(u + -7) + -8 = -4(-3u + 8) + -2u Reorder the terms: 2(-7 + u) + -8 = -4(-3u + 8) + -2u (-7 * 2 + u * 2) + -8 = -4(-3u + 8) + -2u (-14 + 2u) + -8 = -4(-3u + 8) + -2u Reorder the terms: -14 + -8 + 2u = -4(-3u + 8) + -2u Combine like terms: -14 + -8 = -22 -22 + 2u = -4(-3u + 8) + -2u Reorder the terms: -22 + 2u = -4(8 + -3u) + -2u -22 + 2u = (8 * -4 + -3u * -4) + -2u -22 + 2u = (-32 + 12u) + -2u Combine like terms: 12u + -2u = 10u -22 + 2u = -32 + 10u Solving -22 + 2u = -32 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -22 + 2u + -10u = -32 + 10u + -10u Combine like terms: 2u + -10u = -8u -22 + -8u = -32 + 10u + -10u Combine like terms: 10u + -10u = 0 -22 + -8u = -32 + 0 -22 + -8u = -32 Add '22' to each side of the equation. -22 + 22 + -8u = -32 + 22 Combine like terms: -22 + 22 = 0 0 + -8u = -32 + 22 -8u = -32 + 22 Combine like terms: -32 + 22 = -10 -8u = -10 Divide each side by '-8'. u = 1.25 Simplifying u = 1.25
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