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Simplifying 3g + -1(g + 4) = 1 + g Reorder the terms: 3g + -1(4 + g) = 1 + g 3g + (4 * -1 + g * -1) = 1 + g 3g + (-4 + -1g) = 1 + g Reorder the terms: -4 + 3g + -1g = 1 + g Combine like terms: 3g + -1g = 2g -4 + 2g = 1 + g Solving -4 + 2g = 1 + g 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. -4 + 2g + -1g = 1 + g + -1g Combine like terms: 2g + -1g = 1g -4 + 1g = 1 + g + -1g Combine like terms: g + -1g = 0 -4 + 1g = 1 + 0 -4 + 1g = 1 Add '4' to each side of the equation. -4 + 4 + 1g = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1g = 1 + 4 1g = 1 + 4 Combine like terms: 1 + 4 = 5 1g = 5 Divide each side by '1'. g = 5 Simplifying g = 5
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