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Simplifying 13 = 3g + -2(-5 + g) 13 = 3g + (-5 * -2 + g * -2) 13 = 3g + (10 + -2g) Reorder the terms: 13 = 10 + 3g + -2g Combine like terms: 3g + -2g = 1g 13 = 10 + 1g Solving 13 = 10 + 1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 13 + -1g = 10 + 1g + -1g Combine like terms: 1g + -1g = 0 13 + -1g = 10 + 0 13 + -1g = 10 Add '-13' to each side of the equation. 13 + -13 + -1g = 10 + -13 Combine like terms: 13 + -13 = 0 0 + -1g = 10 + -13 -1g = 10 + -13 Combine like terms: 10 + -13 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3
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