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Simplifying 2(3g + -1) + -4 + -1g = 6 + -1(g + -1) + 4 Reorder the terms: 2(-1 + 3g) + -4 + -1g = 6 + -1(g + -1) + 4 (-1 * 2 + 3g * 2) + -4 + -1g = 6 + -1(g + -1) + 4 (-2 + 6g) + -4 + -1g = 6 + -1(g + -1) + 4 Reorder the terms: -2 + -4 + 6g + -1g = 6 + -1(g + -1) + 4 Combine like terms: -2 + -4 = -6 -6 + 6g + -1g = 6 + -1(g + -1) + 4 Combine like terms: 6g + -1g = 5g -6 + 5g = 6 + -1(g + -1) + 4 Reorder the terms: -6 + 5g = 6 + -1(-1 + g) + 4 -6 + 5g = 6 + (-1 * -1 + g * -1) + 4 -6 + 5g = 6 + (1 + -1g) + 4 Reorder the terms: -6 + 5g = 6 + 1 + 4 + -1g Combine like terms: 6 + 1 = 7 -6 + 5g = 7 + 4 + -1g Combine like terms: 7 + 4 = 11 -6 + 5g = 11 + -1g Solving -6 + 5g = 11 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -6 + 5g + g = 11 + -1g + g Combine like terms: 5g + g = 6g -6 + 6g = 11 + -1g + g Combine like terms: -1g + g = 0 -6 + 6g = 11 + 0 -6 + 6g = 11 Add '6' to each side of the equation. -6 + 6 + 6g = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 6g = 11 + 6 6g = 11 + 6 Combine like terms: 11 + 6 = 17 6g = 17 Divide each side by '6'. g = 2.833333333 Simplifying g = 2.833333333
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