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Simplifying 19 + -12g = -5 + -8(2g + -9) Reorder the terms: 19 + -12g = -5 + -8(-9 + 2g) 19 + -12g = -5 + (-9 * -8 + 2g * -8) 19 + -12g = -5 + (72 + -16g) Combine like terms: -5 + 72 = 67 19 + -12g = 67 + -16g Solving 19 + -12g = 67 + -16g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16g' to each side of the equation. 19 + -12g + 16g = 67 + -16g + 16g Combine like terms: -12g + 16g = 4g 19 + 4g = 67 + -16g + 16g Combine like terms: -16g + 16g = 0 19 + 4g = 67 + 0 19 + 4g = 67 Add '-19' to each side of the equation. 19 + -19 + 4g = 67 + -19 Combine like terms: 19 + -19 = 0 0 + 4g = 67 + -19 4g = 67 + -19 Combine like terms: 67 + -19 = 48 4g = 48 Divide each side by '4'. g = 12 Simplifying g = 12
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