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Simplifying -2g + 10 = 10 + -1(-4g + 1) Reorder the terms: 10 + -2g = 10 + -1(-4g + 1) Reorder the terms: 10 + -2g = 10 + -1(1 + -4g) 10 + -2g = 10 + (1 * -1 + -4g * -1) 10 + -2g = 10 + (-1 + 4g) Combine like terms: 10 + -1 = 9 10 + -2g = 9 + 4g Solving 10 + -2g = 9 + 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. 10 + -2g + -4g = 9 + 4g + -4g Combine like terms: -2g + -4g = -6g 10 + -6g = 9 + 4g + -4g Combine like terms: 4g + -4g = 0 10 + -6g = 9 + 0 10 + -6g = 9 Add '-10' to each side of the equation. 10 + -10 + -6g = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -6g = 9 + -10 -6g = 9 + -10 Combine like terms: 9 + -10 = -1 -6g = -1 Divide each side by '-6'. g = 0.1666666667 Simplifying g = 0.1666666667
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