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Simplifying 6x + 5Y + 7z + 5x + 2z = 0 Reorder the terms: 5Y + 6x + 5x + 7z + 2z = 0 Combine like terms: 6x + 5x = 11x 5Y + 11x + 7z + 2z = 0 Combine like terms: 7z + 2z = 9z 5Y + 11x + 9z = 0 Solving 5Y + 11x + 9z = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-11x' to each side of the equation. 5Y + 11x + -11x + 9z = 0 + -11x Combine like terms: 11x + -11x = 0 5Y + 0 + 9z = 0 + -11x 5Y + 9z = 0 + -11x Remove the zero: 5Y + 9z = -11x Add '-9z' to each side of the equation. 5Y + 9z + -9z = -11x + -9z Combine like terms: 9z + -9z = 0 5Y + 0 = -11x + -9z 5Y = -11x + -9z Divide each side by '5'. Y = -2.2x + -1.8z Simplifying Y = -2.2x + -1.8z
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