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Simplifying 8(3g + 2) + -3 = 3(5g + -4) + -2 Reorder the terms: 8(2 + 3g) + -3 = 3(5g + -4) + -2 (2 * 8 + 3g * 8) + -3 = 3(5g + -4) + -2 (16 + 24g) + -3 = 3(5g + -4) + -2 Reorder the terms: 16 + -3 + 24g = 3(5g + -4) + -2 Combine like terms: 16 + -3 = 13 13 + 24g = 3(5g + -4) + -2 Reorder the terms: 13 + 24g = 3(-4 + 5g) + -2 13 + 24g = (-4 * 3 + 5g * 3) + -2 13 + 24g = (-12 + 15g) + -2 Reorder the terms: 13 + 24g = -12 + -2 + 15g Combine like terms: -12 + -2 = -14 13 + 24g = -14 + 15g Solving 13 + 24g = -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. 13 + 24g + -15g = -14 + 15g + -15g Combine like terms: 24g + -15g = 9g 13 + 9g = -14 + 15g + -15g Combine like terms: 15g + -15g = 0 13 + 9g = -14 + 0 13 + 9g = -14 Add '-13' to each side of the equation. 13 + -13 + 9g = -14 + -13 Combine like terms: 13 + -13 = 0 0 + 9g = -14 + -13 9g = -14 + -13 Combine like terms: -14 + -13 = -27 9g = -27 Divide each side by '9'. g = -3 Simplifying g = -3
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