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Simplifying 10u + 7 = 8(2u + -4) + -4 Reorder the terms: 7 + 10u = 8(2u + -4) + -4 Reorder the terms: 7 + 10u = 8(-4 + 2u) + -4 7 + 10u = (-4 * 8 + 2u * 8) + -4 7 + 10u = (-32 + 16u) + -4 Reorder the terms: 7 + 10u = -32 + -4 + 16u Combine like terms: -32 + -4 = -36 7 + 10u = -36 + 16u Solving 7 + 10u = -36 + 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. 7 + 10u + -16u = -36 + 16u + -16u Combine like terms: 10u + -16u = -6u 7 + -6u = -36 + 16u + -16u Combine like terms: 16u + -16u = 0 7 + -6u = -36 + 0 7 + -6u = -36 Add '-7' to each side of the equation. 7 + -7 + -6u = -36 + -7 Combine like terms: 7 + -7 = 0 0 + -6u = -36 + -7 -6u = -36 + -7 Combine like terms: -36 + -7 = -43 -6u = -43 Divide each side by '-6'. u = 7.166666667 Simplifying u = 7.166666667
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