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Simplifying 21 + -5g + -1(3g + -1) + -1g = 5g + -12 Reorder the terms: 21 + -5g + -1(-1 + 3g) + -1g = 5g + -12 21 + -5g + (-1 * -1 + 3g * -1) + -1g = 5g + -12 21 + -5g + (1 + -3g) + -1g = 5g + -12 Reorder the terms: 21 + 1 + -5g + -3g + -1g = 5g + -12 Combine like terms: 21 + 1 = 22 22 + -5g + -3g + -1g = 5g + -12 Combine like terms: -5g + -3g = -8g 22 + -8g + -1g = 5g + -12 Combine like terms: -8g + -1g = -9g 22 + -9g = 5g + -12 Reorder the terms: 22 + -9g = -12 + 5g Solving 22 + -9g = -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. 22 + -9g + -5g = -12 + 5g + -5g Combine like terms: -9g + -5g = -14g 22 + -14g = -12 + 5g + -5g Combine like terms: 5g + -5g = 0 22 + -14g = -12 + 0 22 + -14g = -12 Add '-22' to each side of the equation. 22 + -22 + -14g = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -14g = -12 + -22 -14g = -12 + -22 Combine like terms: -12 + -22 = -34 -14g = -34 Divide each side by '-14'. g = 2.428571429 Simplifying g = 2.428571429
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