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Simplifying 21 + -1(5g + -1(3g + -1)) + -1g = 5g + -12 Reorder the terms: 21 + -1(5g + -1(-1 + 3g)) + -1g = 5g + -12 21 + -1(5g + (-1 * -1 + 3g * -1)) + -1g = 5g + -12 21 + -1(5g + (1 + -3g)) + -1g = 5g + -12 Reorder the terms: 21 + -1(1 + 5g + -3g) + -1g = 5g + -12 Combine like terms: 5g + -3g = 2g 21 + -1(1 + 2g) + -1g = 5g + -12 21 + (1 * -1 + 2g * -1) + -1g = 5g + -12 21 + (-1 + -2g) + -1g = 5g + -12 Combine like terms: 21 + -1 = 20 20 + -2g + -1g = 5g + -12 Combine like terms: -2g + -1g = -3g 20 + -3g = 5g + -12 Reorder the terms: 20 + -3g = -12 + 5g Solving 20 + -3g = -12 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 20 + -3g + -5g = -12 + 5g + -5g Combine like terms: -3g + -5g = -8g 20 + -8g = -12 + 5g + -5g Combine like terms: 5g + -5g = 0 20 + -8g = -12 + 0 20 + -8g = -12 Add '-20' to each side of the equation. 20 + -20 + -8g = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8g = -12 + -20 -8g = -12 + -20 Combine like terms: -12 + -20 = -32 -8g = -32 Divide each side by '-8'. g = 4 Simplifying g = 4
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