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Simplifying 8(3g + 2) + -3g = 2(5g + -4) + -2 Reorder the terms: 8(2 + 3g) + -3g = 2(5g + -4) + -2 (2 * 8 + 3g * 8) + -3g = 2(5g + -4) + -2 (16 + 24g) + -3g = 2(5g + -4) + -2 Combine like terms: 24g + -3g = 21g 16 + 21g = 2(5g + -4) + -2 Reorder the terms: 16 + 21g = 2(-4 + 5g) + -2 16 + 21g = (-4 * 2 + 5g * 2) + -2 16 + 21g = (-8 + 10g) + -2 Reorder the terms: 16 + 21g = -8 + -2 + 10g Combine like terms: -8 + -2 = -10 16 + 21g = -10 + 10g Solving 16 + 21g = -10 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. 16 + 21g + -10g = -10 + 10g + -10g Combine like terms: 21g + -10g = 11g 16 + 11g = -10 + 10g + -10g Combine like terms: 10g + -10g = 0 16 + 11g = -10 + 0 16 + 11g = -10 Add '-16' to each side of the equation. 16 + -16 + 11g = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 11g = -10 + -16 11g = -10 + -16 Combine like terms: -10 + -16 = -26 11g = -26 Divide each side by '11'. g = -2.363636364 Simplifying g = -2.363636364
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