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Simplifying 6u + -30 = -6(u + -7) Reorder the terms: -30 + 6u = -6(u + -7) Reorder the terms: -30 + 6u = -6(-7 + u) -30 + 6u = (-7 * -6 + u * -6) -30 + 6u = (42 + -6u) Solving -30 + 6u = 42 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -30 + 6u + 6u = 42 + -6u + 6u Combine like terms: 6u + 6u = 12u -30 + 12u = 42 + -6u + 6u Combine like terms: -6u + 6u = 0 -30 + 12u = 42 + 0 -30 + 12u = 42 Add '30' to each side of the equation. -30 + 30 + 12u = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12u = 42 + 30 12u = 42 + 30 Combine like terms: 42 + 30 = 72 12u = 72 Divide each side by '12'. u = 6 Simplifying u = 6
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