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Simplifying 2(u + -2) + -7 = -3(-5u + 3) + -3u Reorder the terms: 2(-2 + u) + -7 = -3(-5u + 3) + -3u (-2 * 2 + u * 2) + -7 = -3(-5u + 3) + -3u (-4 + 2u) + -7 = -3(-5u + 3) + -3u Reorder the terms: -4 + -7 + 2u = -3(-5u + 3) + -3u Combine like terms: -4 + -7 = -11 -11 + 2u = -3(-5u + 3) + -3u Reorder the terms: -11 + 2u = -3(3 + -5u) + -3u -11 + 2u = (3 * -3 + -5u * -3) + -3u -11 + 2u = (-9 + 15u) + -3u Combine like terms: 15u + -3u = 12u -11 + 2u = -9 + 12u Solving -11 + 2u = -9 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -11 + 2u + -12u = -9 + 12u + -12u Combine like terms: 2u + -12u = -10u -11 + -10u = -9 + 12u + -12u Combine like terms: 12u + -12u = 0 -11 + -10u = -9 + 0 -11 + -10u = -9 Add '11' to each side of the equation. -11 + 11 + -10u = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -10u = -9 + 11 -10u = -9 + 11 Combine like terms: -9 + 11 = 2 -10u = 2 Divide each side by '-10'. u = -0.2 Simplifying u = -0.2
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