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Simplifying 12 + -1(9G + 5) + 5G = G + -21 + 3G + 4 Reorder the terms: 12 + -1(5 + 9G) + 5G = G + -21 + 3G + 4 12 + (5 * -1 + 9G * -1) + 5G = G + -21 + 3G + 4 12 + (-5 + -9G) + 5G = G + -21 + 3G + 4 Combine like terms: 12 + -5 = 7 7 + -9G + 5G = G + -21 + 3G + 4 Combine like terms: -9G + 5G = -4G 7 + -4G = G + -21 + 3G + 4 Reorder the terms: 7 + -4G = -21 + 4 + G + 3G Combine like terms: -21 + 4 = -17 7 + -4G = -17 + G + 3G Combine like terms: G + 3G = 4G 7 + -4G = -17 + 4G Solving 7 + -4G = -17 + 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. 7 + -4G + -4G = -17 + 4G + -4G Combine like terms: -4G + -4G = -8G 7 + -8G = -17 + 4G + -4G Combine like terms: 4G + -4G = 0 7 + -8G = -17 + 0 7 + -8G = -17 Add '-7' to each side of the equation. 7 + -7 + -8G = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -8G = -17 + -7 -8G = -17 + -7 Combine like terms: -17 + -7 = -24 -8G = -24 Divide each side by '-8'. G = 3 Simplifying G = 3
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