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Simplifying 6(u + -7) = 4u + -36 Reorder the terms: 6(-7 + u) = 4u + -36 (-7 * 6 + u * 6) = 4u + -36 (-42 + 6u) = 4u + -36 Reorder the terms: -42 + 6u = -36 + 4u Solving -42 + 6u = -36 + 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. -42 + 6u + -4u = -36 + 4u + -4u Combine like terms: 6u + -4u = 2u -42 + 2u = -36 + 4u + -4u Combine like terms: 4u + -4u = 0 -42 + 2u = -36 + 0 -42 + 2u = -36 Add '42' to each side of the equation. -42 + 42 + 2u = -36 + 42 Combine like terms: -42 + 42 = 0 0 + 2u = -36 + 42 2u = -36 + 42 Combine like terms: -36 + 42 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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