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Simplifying -3(-9u + 7) + -5u = 4(u + -2) + -7 Reorder the terms: -3(7 + -9u) + -5u = 4(u + -2) + -7 (7 * -3 + -9u * -3) + -5u = 4(u + -2) + -7 (-21 + 27u) + -5u = 4(u + -2) + -7 Combine like terms: 27u + -5u = 22u -21 + 22u = 4(u + -2) + -7 Reorder the terms: -21 + 22u = 4(-2 + u) + -7 -21 + 22u = (-2 * 4 + u * 4) + -7 -21 + 22u = (-8 + 4u) + -7 Reorder the terms: -21 + 22u = -8 + -7 + 4u Combine like terms: -8 + -7 = -15 -21 + 22u = -15 + 4u Solving -21 + 22u = -15 + 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. -21 + 22u + -4u = -15 + 4u + -4u Combine like terms: 22u + -4u = 18u -21 + 18u = -15 + 4u + -4u Combine like terms: 4u + -4u = 0 -21 + 18u = -15 + 0 -21 + 18u = -15 Add '21' to each side of the equation. -21 + 21 + 18u = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 18u = -15 + 21 18u = -15 + 21 Combine like terms: -15 + 21 = 6 18u = 6 Divide each side by '18'. u = 0.3333333333 Simplifying u = 0.3333333333
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