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Simplifying 10g + 6 = 2 + 3(g + 1) Reorder the terms: 6 + 10g = 2 + 3(g + 1) Reorder the terms: 6 + 10g = 2 + 3(1 + g) 6 + 10g = 2 + (1 * 3 + g * 3) 6 + 10g = 2 + (3 + 3g) Combine like terms: 2 + 3 = 5 6 + 10g = 5 + 3g Solving 6 + 10g = 5 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 6 + 10g + -3g = 5 + 3g + -3g Combine like terms: 10g + -3g = 7g 6 + 7g = 5 + 3g + -3g Combine like terms: 3g + -3g = 0 6 + 7g = 5 + 0 6 + 7g = 5 Add '-6' to each side of the equation. 6 + -6 + 7g = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 7g = 5 + -6 7g = 5 + -6 Combine like terms: 5 + -6 = -1 7g = -1 Divide each side by '7'. g = -0.1428571429 Simplifying g = -0.1428571429
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