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Simplifying 6(u + -9) + -1 = -5(-3u + 8) + -3u Reorder the terms: 6(-9 + u) + -1 = -5(-3u + 8) + -3u (-9 * 6 + u * 6) + -1 = -5(-3u + 8) + -3u (-54 + 6u) + -1 = -5(-3u + 8) + -3u Reorder the terms: -54 + -1 + 6u = -5(-3u + 8) + -3u Combine like terms: -54 + -1 = -55 -55 + 6u = -5(-3u + 8) + -3u Reorder the terms: -55 + 6u = -5(8 + -3u) + -3u -55 + 6u = (8 * -5 + -3u * -5) + -3u -55 + 6u = (-40 + 15u) + -3u Combine like terms: 15u + -3u = 12u -55 + 6u = -40 + 12u Solving -55 + 6u = -40 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -55 + 6u + -12u = -40 + 12u + -12u Combine like terms: 6u + -12u = -6u -55 + -6u = -40 + 12u + -12u Combine like terms: 12u + -12u = 0 -55 + -6u = -40 + 0 -55 + -6u = -40 Add '55' to each side of the equation. -55 + 55 + -6u = -40 + 55 Combine like terms: -55 + 55 = 0 0 + -6u = -40 + 55 -6u = -40 + 55 Combine like terms: -40 + 55 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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