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Simplifying 3(u + -1) + -7 = -2(-2u + 6) + -7u Reorder the terms: 3(-1 + u) + -7 = -2(-2u + 6) + -7u (-1 * 3 + u * 3) + -7 = -2(-2u + 6) + -7u (-3 + 3u) + -7 = -2(-2u + 6) + -7u Reorder the terms: -3 + -7 + 3u = -2(-2u + 6) + -7u Combine like terms: -3 + -7 = -10 -10 + 3u = -2(-2u + 6) + -7u Reorder the terms: -10 + 3u = -2(6 + -2u) + -7u -10 + 3u = (6 * -2 + -2u * -2) + -7u -10 + 3u = (-12 + 4u) + -7u Combine like terms: 4u + -7u = -3u -10 + 3u = -12 + -3u Solving -10 + 3u = -12 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -10 + 3u + 3u = -12 + -3u + 3u Combine like terms: 3u + 3u = 6u -10 + 6u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 -10 + 6u = -12 + 0 -10 + 6u = -12 Add '10' to each side of the equation. -10 + 10 + 6u = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 6u = -12 + 10 6u = -12 + 10 Combine like terms: -12 + 10 = -2 6u = -2 Divide each side by '6'. u = -0.3333333333 Simplifying u = -0.3333333333
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