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Simplifying 3(4 + 1) + -1g = 8 + -1(3g + 2) Combine like terms: 4 + 1 = 5 3(5) + -1g = 8 + -1(3g + 2) Multiply 3 * 5 15 + -1g = 8 + -1(3g + 2) Reorder the terms: 15 + -1g = 8 + -1(2 + 3g) 15 + -1g = 8 + (2 * -1 + 3g * -1) 15 + -1g = 8 + (-2 + -3g) Combine like terms: 8 + -2 = 6 15 + -1g = 6 + -3g Solving 15 + -1g = 6 + -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. 15 + -1g + 3g = 6 + -3g + 3g Combine like terms: -1g + 3g = 2g 15 + 2g = 6 + -3g + 3g Combine like terms: -3g + 3g = 0 15 + 2g = 6 + 0 15 + 2g = 6 Add '-15' to each side of the equation. 15 + -15 + 2g = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 2g = 6 + -15 2g = 6 + -15 Combine like terms: 6 + -15 = -9 2g = -9 Divide each side by '2'. g = -4.5 Simplifying g = -4.5
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