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Simplifying 5g + -2 = 8 + -1(10 + -1g) Reorder the terms: -2 + 5g = 8 + -1(10 + -1g) -2 + 5g = 8 + (10 * -1 + -1g * -1) -2 + 5g = 8 + (-10 + 1g) Combine like terms: 8 + -10 = -2 -2 + 5g = -2 + 1g Add '2' to each side of the equation. -2 + 2 + 5g = -2 + 2 + 1g Combine like terms: -2 + 2 = 0 0 + 5g = -2 + 2 + 1g 5g = -2 + 2 + 1g Combine like terms: -2 + 2 = 0 5g = 0 + 1g 5g = 1g Solving 5g = 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. 5g + -1g = 1g + -1g Combine like terms: 5g + -1g = 4g 4g = 1g + -1g Combine like terms: 1g + -1g = 0 4g = 0 Divide each side by '4'. g = 0 Simplifying g = 0
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