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Simplifying -3(-9u + 5) + -7u = 4(u + -1) + -9 Reorder the terms: -3(5 + -9u) + -7u = 4(u + -1) + -9 (5 * -3 + -9u * -3) + -7u = 4(u + -1) + -9 (-15 + 27u) + -7u = 4(u + -1) + -9 Combine like terms: 27u + -7u = 20u -15 + 20u = 4(u + -1) + -9 Reorder the terms: -15 + 20u = 4(-1 + u) + -9 -15 + 20u = (-1 * 4 + u * 4) + -9 -15 + 20u = (-4 + 4u) + -9 Reorder the terms: -15 + 20u = -4 + -9 + 4u Combine like terms: -4 + -9 = -13 -15 + 20u = -13 + 4u Solving -15 + 20u = -13 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -15 + 20u + -4u = -13 + 4u + -4u Combine like terms: 20u + -4u = 16u -15 + 16u = -13 + 4u + -4u Combine like terms: 4u + -4u = 0 -15 + 16u = -13 + 0 -15 + 16u = -13 Add '15' to each side of the equation. -15 + 15 + 16u = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 16u = -13 + 15 16u = -13 + 15 Combine like terms: -13 + 15 = 2 16u = 2 Divide each side by '16'. u = 0.125 Simplifying u = 0.125
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