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Simplifying -3(-7u + 5) + -9u = 2(u + -5) + -9 Reorder the terms: -3(5 + -7u) + -9u = 2(u + -5) + -9 (5 * -3 + -7u * -3) + -9u = 2(u + -5) + -9 (-15 + 21u) + -9u = 2(u + -5) + -9 Combine like terms: 21u + -9u = 12u -15 + 12u = 2(u + -5) + -9 Reorder the terms: -15 + 12u = 2(-5 + u) + -9 -15 + 12u = (-5 * 2 + u * 2) + -9 -15 + 12u = (-10 + 2u) + -9 Reorder the terms: -15 + 12u = -10 + -9 + 2u Combine like terms: -10 + -9 = -19 -15 + 12u = -19 + 2u Solving -15 + 12u = -19 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -15 + 12u + -2u = -19 + 2u + -2u Combine like terms: 12u + -2u = 10u -15 + 10u = -19 + 2u + -2u Combine like terms: 2u + -2u = 0 -15 + 10u = -19 + 0 -15 + 10u = -19 Add '15' to each side of the equation. -15 + 15 + 10u = -19 + 15 Combine like terms: -15 + 15 = 0 0 + 10u = -19 + 15 10u = -19 + 15 Combine like terms: -19 + 15 = -4 10u = -4 Divide each side by '10'. u = -0.4 Simplifying u = -0.4
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