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Simplifying 8(3g + 3) + -3g = 3(5g + -4) + -2 Reorder the terms: 8(3 + 3g) + -3g = 3(5g + -4) + -2 (3 * 8 + 3g * 8) + -3g = 3(5g + -4) + -2 (24 + 24g) + -3g = 3(5g + -4) + -2 Combine like terms: 24g + -3g = 21g 24 + 21g = 3(5g + -4) + -2 Reorder the terms: 24 + 21g = 3(-4 + 5g) + -2 24 + 21g = (-4 * 3 + 5g * 3) + -2 24 + 21g = (-12 + 15g) + -2 Reorder the terms: 24 + 21g = -12 + -2 + 15g Combine like terms: -12 + -2 = -14 24 + 21g = -14 + 15g Solving 24 + 21g = -14 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 24 + 21g + -15g = -14 + 15g + -15g Combine like terms: 21g + -15g = 6g 24 + 6g = -14 + 15g + -15g Combine like terms: 15g + -15g = 0 24 + 6g = -14 + 0 24 + 6g = -14 Add '-24' to each side of the equation. 24 + -24 + 6g = -14 + -24 Combine like terms: 24 + -24 = 0 0 + 6g = -14 + -24 6g = -14 + -24 Combine like terms: -14 + -24 = -38 6g = -38 Divide each side by '6'. g = -6.333333333 Simplifying g = -6.333333333
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