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Simplifying 2(u + -4) + -7 = -3(-9u + 9) + -7u Reorder the terms: 2(-4 + u) + -7 = -3(-9u + 9) + -7u (-4 * 2 + u * 2) + -7 = -3(-9u + 9) + -7u (-8 + 2u) + -7 = -3(-9u + 9) + -7u Reorder the terms: -8 + -7 + 2u = -3(-9u + 9) + -7u Combine like terms: -8 + -7 = -15 -15 + 2u = -3(-9u + 9) + -7u Reorder the terms: -15 + 2u = -3(9 + -9u) + -7u -15 + 2u = (9 * -3 + -9u * -3) + -7u -15 + 2u = (-27 + 27u) + -7u Combine like terms: 27u + -7u = 20u -15 + 2u = -27 + 20u Solving -15 + 2u = -27 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -15 + 2u + -20u = -27 + 20u + -20u Combine like terms: 2u + -20u = -18u -15 + -18u = -27 + 20u + -20u Combine like terms: 20u + -20u = 0 -15 + -18u = -27 + 0 -15 + -18u = -27 Add '15' to each side of the equation. -15 + 15 + -18u = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -18u = -27 + 15 -18u = -27 + 15 Combine like terms: -27 + 15 = -12 -18u = -12 Divide each side by '-18'. u = 0.6666666667 Simplifying u = 0.6666666667
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