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Simplifying 2K + (7x + Y) = 10G + 1 Reorder the terms: 2K + (Y + 7x) = 10G + 1 Remove parenthesis around (Y + 7x) 2K + Y + 7x = 10G + 1 Reorder the terms: 2K + Y + 7x = 1 + 10G Solving 2K + Y + 7x = 1 + 10G Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-1Y' to each side of the equation. 2K + Y + -1Y + 7x = 1 + 10G + -1Y Combine like terms: Y + -1Y = 0 2K + 0 + 7x = 1 + 10G + -1Y 2K + 7x = 1 + 10G + -1Y Add '-7x' to each side of the equation. 2K + 7x + -7x = 1 + 10G + -1Y + -7x Combine like terms: 7x + -7x = 0 2K + 0 = 1 + 10G + -1Y + -7x 2K = 1 + 10G + -1Y + -7x Divide each side by '2'. K = 0.5 + 5G + -0.5Y + -3.5x Simplifying K = 0.5 + 5G + -0.5Y + -3.5x
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