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Simplifying 6(u + -7) + -2u = -10 Reorder the terms: 6(-7 + u) + -2u = -10 (-7 * 6 + u * 6) + -2u = -10 (-42 + 6u) + -2u = -10 Combine like terms: 6u + -2u = 4u -42 + 4u = -10 Solving -42 + 4u = -10 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 4u = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 4u = -10 + 42 4u = -10 + 42 Combine like terms: -10 + 42 = 32 4u = 32 Divide each side by '4'. u = 8 Simplifying u = 8
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