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Simplifying -1g + 2(3 + 1g) = -4(1g + 1) -1g + (3 * 2 + 1g * 2) = -4(1g + 1) -1g + (6 + 2g) = -4(1g + 1) Reorder the terms: 6 + -1g + 2g = -4(1g + 1) Combine like terms: -1g + 2g = 1g 6 + 1g = -4(1g + 1) Reorder the terms: 6 + 1g = -4(1 + 1g) 6 + 1g = (1 * -4 + 1g * -4) 6 + 1g = (-4 + -4g) Solving 6 + 1g = -4 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. 6 + 1g + 4g = -4 + -4g + 4g Combine like terms: 1g + 4g = 5g 6 + 5g = -4 + -4g + 4g Combine like terms: -4g + 4g = 0 6 + 5g = -4 + 0 6 + 5g = -4 Add '-6' to each side of the equation. 6 + -6 + 5g = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5g = -4 + -6 5g = -4 + -6 Combine like terms: -4 + -6 = -10 5g = -10 Divide each side by '5'. g = -2 Simplifying g = -2
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