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Simplifying 5x + y + 3 + 7x + 2u + 7 = 0 Reorder the terms: 3 + 7 + 2u + 5x + 7x + y = 0 Combine like terms: 3 + 7 = 10 10 + 2u + 5x + 7x + y = 0 Combine like terms: 5x + 7x = 12x 10 + 2u + 12x + y = 0 Solving 10 + 2u + 12x + y = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2u + 12x + -10 + y = 0 + -10 Reorder the terms: 10 + -10 + 2u + 12x + y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2u + 12x + y = 0 + -10 2u + 12x + y = 0 + -10 Combine like terms: 0 + -10 = -10 2u + 12x + y = -10 Add '-12x' to each side of the equation. 2u + 12x + -12x + y = -10 + -12x Combine like terms: 12x + -12x = 0 2u + 0 + y = -10 + -12x 2u + y = -10 + -12x Add '-1y' to each side of the equation. 2u + y + -1y = -10 + -12x + -1y Combine like terms: y + -1y = 0 2u + 0 = -10 + -12x + -1y 2u = -10 + -12x + -1y Divide each side by '2'. u = -5 + -6x + -0.5y Simplifying u = -5 + -6x + -0.5y
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