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Simplifying G + 4(2g + 1) = 3(3g + -2) + 10g Reorder the terms: G + 4(1 + 2g) = 3(3g + -2) + 10g G + (1 * 4 + 2g * 4) = 3(3g + -2) + 10g G + (4 + 8g) = 3(3g + -2) + 10g Reorder the terms: 4 + G + 8g = 3(3g + -2) + 10g Reorder the terms: 4 + G + 8g = 3(-2 + 3g) + 10g 4 + G + 8g = (-2 * 3 + 3g * 3) + 10g 4 + G + 8g = (-6 + 9g) + 10g Combine like terms: 9g + 10g = 19g 4 + G + 8g = -6 + 19g Solving 4 + G + 8g = -6 + 19g Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + G + -4 + 8g = -6 + -4 + 19g Reorder the terms: 4 + -4 + G + 8g = -6 + -4 + 19g Combine like terms: 4 + -4 = 0 0 + G + 8g = -6 + -4 + 19g G + 8g = -6 + -4 + 19g Combine like terms: -6 + -4 = -10 G + 8g = -10 + 19g Add '-8g' to each side of the equation. G + 8g + -8g = -10 + 19g + -8g Combine like terms: 8g + -8g = 0 G + 0 = -10 + 19g + -8g G = -10 + 19g + -8g Combine like terms: 19g + -8g = 11g G = -10 + 11g Simplifying G = -10 + 11g
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