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Simplifying -2(3G + -7) = 31 + -2G Reorder the terms: -2(-7 + 3G) = 31 + -2G (-7 * -2 + 3G * -2) = 31 + -2G (14 + -6G) = 31 + -2G Solving 14 + -6G = 31 + -2G Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '2G' to each side of the equation. 14 + -6G + 2G = 31 + -2G + 2G Combine like terms: -6G + 2G = -4G 14 + -4G = 31 + -2G + 2G Combine like terms: -2G + 2G = 0 14 + -4G = 31 + 0 14 + -4G = 31 Add '-14' to each side of the equation. 14 + -14 + -4G = 31 + -14 Combine like terms: 14 + -14 = 0 0 + -4G = 31 + -14 -4G = 31 + -14 Combine like terms: 31 + -14 = 17 -4G = 17 Divide each side by '-4'. G = -4.25 Simplifying G = -4.25
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