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Simplifying -7(1 + -1g + -2) + 5g = 6g + 15 Reorder the terms: -7(1 + -2 + -1g) + 5g = 6g + 15 Combine like terms: 1 + -2 = -1 -7(-1 + -1g) + 5g = 6g + 15 (-1 * -7 + -1g * -7) + 5g = 6g + 15 (7 + 7g) + 5g = 6g + 15 Combine like terms: 7g + 5g = 12g 7 + 12g = 6g + 15 Reorder the terms: 7 + 12g = 15 + 6g Solving 7 + 12g = 15 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 7 + 12g + -6g = 15 + 6g + -6g Combine like terms: 12g + -6g = 6g 7 + 6g = 15 + 6g + -6g Combine like terms: 6g + -6g = 0 7 + 6g = 15 + 0 7 + 6g = 15 Add '-7' to each side of the equation. 7 + -7 + 6g = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 6g = 15 + -7 6g = 15 + -7 Combine like terms: 15 + -7 = 8 6g = 8 Divide each side by '6'. g = 1.333333333 Simplifying g = 1.333333333
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