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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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