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Simplifying 4(u + -6) + -7 = -7(-3u + 7) + -7u Reorder the terms: 4(-6 + u) + -7 = -7(-3u + 7) + -7u (-6 * 4 + u * 4) + -7 = -7(-3u + 7) + -7u (-24 + 4u) + -7 = -7(-3u + 7) + -7u Reorder the terms: -24 + -7 + 4u = -7(-3u + 7) + -7u Combine like terms: -24 + -7 = -31 -31 + 4u = -7(-3u + 7) + -7u Reorder the terms: -31 + 4u = -7(7 + -3u) + -7u -31 + 4u = (7 * -7 + -3u * -7) + -7u -31 + 4u = (-49 + 21u) + -7u Combine like terms: 21u + -7u = 14u -31 + 4u = -49 + 14u Solving -31 + 4u = -49 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -31 + 4u + -14u = -49 + 14u + -14u Combine like terms: 4u + -14u = -10u -31 + -10u = -49 + 14u + -14u Combine like terms: 14u + -14u = 0 -31 + -10u = -49 + 0 -31 + -10u = -49 Add '31' to each side of the equation. -31 + 31 + -10u = -49 + 31 Combine like terms: -31 + 31 = 0 0 + -10u = -49 + 31 -10u = -49 + 31 Combine like terms: -49 + 31 = -18 -10u = -18 Divide each side by '-10'. u = 1.8 Simplifying u = 1.8
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