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Simplifying 13 = 3g + -1(-5 + g) 13 = 3g + (-5 * -1 + g * -1) 13 = 3g + (5 + -1g) Reorder the terms: 13 = 5 + 3g + -1g Combine like terms: 3g + -1g = 2g 13 = 5 + 2g Solving 13 = 5 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. 13 + -2g = 5 + 2g + -2g Combine like terms: 2g + -2g = 0 13 + -2g = 5 + 0 13 + -2g = 5 Add '-13' to each side of the equation. 13 + -13 + -2g = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -2g = 5 + -13 -2g = 5 + -13 Combine like terms: 5 + -13 = -8 -2g = -8 Divide each side by '-2'. g = 4 Simplifying g = 4
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