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Simplifying 2(u + -6) + -8 = -3(-7u + 5) + -9u Reorder the terms: 2(-6 + u) + -8 = -3(-7u + 5) + -9u (-6 * 2 + u * 2) + -8 = -3(-7u + 5) + -9u (-12 + 2u) + -8 = -3(-7u + 5) + -9u Reorder the terms: -12 + -8 + 2u = -3(-7u + 5) + -9u Combine like terms: -12 + -8 = -20 -20 + 2u = -3(-7u + 5) + -9u Reorder the terms: -20 + 2u = -3(5 + -7u) + -9u -20 + 2u = (5 * -3 + -7u * -3) + -9u -20 + 2u = (-15 + 21u) + -9u Combine like terms: 21u + -9u = 12u -20 + 2u = -15 + 12u Solving -20 + 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. -20 + 2u + -12u = -15 + 12u + -12u Combine like terms: 2u + -12u = -10u -20 + -10u = -15 + 12u + -12u Combine like terms: 12u + -12u = 0 -20 + -10u = -15 + 0 -20 + -10u = -15 Add '20' to each side of the equation. -20 + 20 + -10u = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -10u = -15 + 20 -10u = -15 + 20 Combine like terms: -15 + 20 = 5 -10u = 5 Divide each side by '-10'. u = -0.5 Simplifying u = -0.5
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