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Simplifying -3(-9u + 7) + -4u = 7(u + -2) + -3 Reorder the terms: -3(7 + -9u) + -4u = 7(u + -2) + -3 (7 * -3 + -9u * -3) + -4u = 7(u + -2) + -3 (-21 + 27u) + -4u = 7(u + -2) + -3 Combine like terms: 27u + -4u = 23u -21 + 23u = 7(u + -2) + -3 Reorder the terms: -21 + 23u = 7(-2 + u) + -3 -21 + 23u = (-2 * 7 + u * 7) + -3 -21 + 23u = (-14 + 7u) + -3 Reorder the terms: -21 + 23u = -14 + -3 + 7u Combine like terms: -14 + -3 = -17 -21 + 23u = -17 + 7u Solving -21 + 23u = -17 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -21 + 23u + -7u = -17 + 7u + -7u Combine like terms: 23u + -7u = 16u -21 + 16u = -17 + 7u + -7u Combine like terms: 7u + -7u = 0 -21 + 16u = -17 + 0 -21 + 16u = -17 Add '21' to each side of the equation. -21 + 21 + 16u = -17 + 21 Combine like terms: -21 + 21 = 0 0 + 16u = -17 + 21 16u = -17 + 21 Combine like terms: -17 + 21 = 4 16u = 4 Divide each side by '16'. u = 0.25 Simplifying u = 0.25
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