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Simplifying 6g + 5 + -2(g + 2) = -1(-7g + -1) Reorder the terms: 6g + 5 + -2(2 + g) = -1(-7g + -1) 6g + 5 + (2 * -2 + g * -2) = -1(-7g + -1) 6g + 5 + (-4 + -2g) = -1(-7g + -1) Reorder the terms: 5 + -4 + 6g + -2g = -1(-7g + -1) Combine like terms: 5 + -4 = 1 1 + 6g + -2g = -1(-7g + -1) Combine like terms: 6g + -2g = 4g 1 + 4g = -1(-7g + -1) Reorder the terms: 1 + 4g = -1(-1 + -7g) 1 + 4g = (-1 * -1 + -7g * -1) 1 + 4g = (1 + 7g) Add '-1' to each side of the equation. 1 + -1 + 4g = 1 + -1 + 7g Combine like terms: 1 + -1 = 0 0 + 4g = 1 + -1 + 7g 4g = 1 + -1 + 7g Combine like terms: 1 + -1 = 0 4g = 0 + 7g 4g = 7g Solving 4g = 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. 4g + -7g = 7g + -7g Combine like terms: 4g + -7g = -3g -3g = 7g + -7g Combine like terms: 7g + -7g = 0 -3g = 0 Divide each side by '-3'. g = 0 Simplifying g = 0
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