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Simplifying 4g + -1(2 + g) = 10 + 2g 4g + (2 * -1 + g * -1) = 10 + 2g 4g + (-2 + -1g) = 10 + 2g Reorder the terms: -2 + 4g + -1g = 10 + 2g Combine like terms: 4g + -1g = 3g -2 + 3g = 10 + 2g Solving -2 + 3g = 10 + 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. -2 + 3g + -2g = 10 + 2g + -2g Combine like terms: 3g + -2g = 1g -2 + 1g = 10 + 2g + -2g Combine like terms: 2g + -2g = 0 -2 + 1g = 10 + 0 -2 + 1g = 10 Add '2' to each side of the equation. -2 + 2 + 1g = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1g = 10 + 2 1g = 10 + 2 Combine like terms: 10 + 2 = 12 1g = 12 Divide each side by '1'. g = 12 Simplifying g = 12
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