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Simplifying 4g + 3[g + -2] = -5[g + -4] + -1g Reorder the terms: 4g + 3[-2 + g] = -5[g + -4] + -1g 4g + [-2 * 3 + g * 3] = -5[g + -4] + -1g 4g + [-6 + 3g] = -5[g + -4] + -1g Reorder the terms: -6 + 4g + 3g = -5[g + -4] + -1g Combine like terms: 4g + 3g = 7g -6 + 7g = -5[g + -4] + -1g Reorder the terms: -6 + 7g = -5[-4 + g] + -1g -6 + 7g = [-4 * -5 + g * -5] + -1g -6 + 7g = [20 + -5g] + -1g Combine like terms: -5g + -1g = -6g -6 + 7g = 20 + -6g Solving -6 + 7g = 20 + -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. -6 + 7g + 6g = 20 + -6g + 6g Combine like terms: 7g + 6g = 13g -6 + 13g = 20 + -6g + 6g Combine like terms: -6g + 6g = 0 -6 + 13g = 20 + 0 -6 + 13g = 20 Add '6' to each side of the equation. -6 + 6 + 13g = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 13g = 20 + 6 13g = 20 + 6 Combine like terms: 20 + 6 = 26 13g = 26 Divide each side by '13'. g = 2 Simplifying g = 2
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