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Simplifying 12(5u + -6) = 6(6u + 8) Reorder the terms: 12(-6 + 5u) = 6(6u + 8) (-6 * 12 + 5u * 12) = 6(6u + 8) (-72 + 60u) = 6(6u + 8) Reorder the terms: -72 + 60u = 6(8 + 6u) -72 + 60u = (8 * 6 + 6u * 6) -72 + 60u = (48 + 36u) Solving -72 + 60u = 48 + 36u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36u' to each side of the equation. -72 + 60u + -36u = 48 + 36u + -36u Combine like terms: 60u + -36u = 24u -72 + 24u = 48 + 36u + -36u Combine like terms: 36u + -36u = 0 -72 + 24u = 48 + 0 -72 + 24u = 48 Add '72' to each side of the equation. -72 + 72 + 24u = 48 + 72 Combine like terms: -72 + 72 = 0 0 + 24u = 48 + 72 24u = 48 + 72 Combine like terms: 48 + 72 = 120 24u = 120 Divide each side by '24'. u = 5 Simplifying u = 5
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