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Simplifying 2(u + -3) + -7 = -3(-6u + 5) + -6u Reorder the terms: 2(-3 + u) + -7 = -3(-6u + 5) + -6u (-3 * 2 + u * 2) + -7 = -3(-6u + 5) + -6u (-6 + 2u) + -7 = -3(-6u + 5) + -6u Reorder the terms: -6 + -7 + 2u = -3(-6u + 5) + -6u Combine like terms: -6 + -7 = -13 -13 + 2u = -3(-6u + 5) + -6u Reorder the terms: -13 + 2u = -3(5 + -6u) + -6u -13 + 2u = (5 * -3 + -6u * -3) + -6u -13 + 2u = (-15 + 18u) + -6u Combine like terms: 18u + -6u = 12u -13 + 2u = -15 + 12u Solving -13 + 2u = -15 + 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. -13 + 2u + -12u = -15 + 12u + -12u Combine like terms: 2u + -12u = -10u -13 + -10u = -15 + 12u + -12u Combine like terms: 12u + -12u = 0 -13 + -10u = -15 + 0 -13 + -10u = -15 Add '13' to each side of the equation. -13 + 13 + -10u = -15 + 13 Combine like terms: -13 + 13 = 0 0 + -10u = -15 + 13 -10u = -15 + 13 Combine like terms: -15 + 13 = -2 -10u = -2 Divide each side by '-10'. u = 0.2 Simplifying u = 0.2
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