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Simplifying 4(4g + 1) + 5 = 12g + -7 Reorder the terms: 4(1 + 4g) + 5 = 12g + -7 (1 * 4 + 4g * 4) + 5 = 12g + -7 (4 + 16g) + 5 = 12g + -7 Reorder the terms: 4 + 5 + 16g = 12g + -7 Combine like terms: 4 + 5 = 9 9 + 16g = 12g + -7 Reorder the terms: 9 + 16g = -7 + 12g Solving 9 + 16g = -7 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. 9 + 16g + -12g = -7 + 12g + -12g Combine like terms: 16g + -12g = 4g 9 + 4g = -7 + 12g + -12g Combine like terms: 12g + -12g = 0 9 + 4g = -7 + 0 9 + 4g = -7 Add '-9' to each side of the equation. 9 + -9 + 4g = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 4g = -7 + -9 4g = -7 + -9 Combine like terms: -7 + -9 = -16 4g = -16 Divide each side by '4'. g = -4 Simplifying g = -4
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