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Simplifying 7(u + -5) + -9 = -7(-4u + 8) + -6u Reorder the terms: 7(-5 + u) + -9 = -7(-4u + 8) + -6u (-5 * 7 + u * 7) + -9 = -7(-4u + 8) + -6u (-35 + 7u) + -9 = -7(-4u + 8) + -6u Reorder the terms: -35 + -9 + 7u = -7(-4u + 8) + -6u Combine like terms: -35 + -9 = -44 -44 + 7u = -7(-4u + 8) + -6u Reorder the terms: -44 + 7u = -7(8 + -4u) + -6u -44 + 7u = (8 * -7 + -4u * -7) + -6u -44 + 7u = (-56 + 28u) + -6u Combine like terms: 28u + -6u = 22u -44 + 7u = -56 + 22u Solving -44 + 7u = -56 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -44 + 7u + -22u = -56 + 22u + -22u Combine like terms: 7u + -22u = -15u -44 + -15u = -56 + 22u + -22u Combine like terms: 22u + -22u = 0 -44 + -15u = -56 + 0 -44 + -15u = -56 Add '44' to each side of the equation. -44 + 44 + -15u = -56 + 44 Combine like terms: -44 + 44 = 0 0 + -15u = -56 + 44 -15u = -56 + 44 Combine like terms: -56 + 44 = -12 -15u = -12 Divide each side by '-15'. u = 0.8 Simplifying u = 0.8
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