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Simplifying 10(G + 5) = 2(2G + 9) Reorder the terms: 10(5 + G) = 2(2G + 9) (5 * 10 + G * 10) = 2(2G + 9) (50 + 10G) = 2(2G + 9) Reorder the terms: 50 + 10G = 2(9 + 2G) 50 + 10G = (9 * 2 + 2G * 2) 50 + 10G = (18 + 4G) Solving 50 + 10G = 18 + 4G Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-4G' to each side of the equation. 50 + 10G + -4G = 18 + 4G + -4G Combine like terms: 10G + -4G = 6G 50 + 6G = 18 + 4G + -4G Combine like terms: 4G + -4G = 0 50 + 6G = 18 + 0 50 + 6G = 18 Add '-50' to each side of the equation. 50 + -50 + 6G = 18 + -50 Combine like terms: 50 + -50 = 0 0 + 6G = 18 + -50 6G = 18 + -50 Combine like terms: 18 + -50 = -32 6G = -32 Divide each side by '6'. G = -5.333333333 Simplifying G = -5.333333333
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