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Simplifying 2 + -1(6g + -8) = 4(g + -5) Reorder the terms: 2 + -1(-8 + 6g) = 4(g + -5) 2 + (-8 * -1 + 6g * -1) = 4(g + -5) 2 + (8 + -6g) = 4(g + -5) Combine like terms: 2 + 8 = 10 10 + -6g = 4(g + -5) Reorder the terms: 10 + -6g = 4(-5 + g) 10 + -6g = (-5 * 4 + g * 4) 10 + -6g = (-20 + 4g) Solving 10 + -6g = -20 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 10 + -6g + -4g = -20 + 4g + -4g Combine like terms: -6g + -4g = -10g 10 + -10g = -20 + 4g + -4g Combine like terms: 4g + -4g = 0 10 + -10g = -20 + 0 10 + -10g = -20 Add '-10' to each side of the equation. 10 + -10 + -10g = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -10g = -20 + -10 -10g = -20 + -10 Combine like terms: -20 + -10 = -30 -10g = -30 Divide each side by '-10'. g = 3 Simplifying g = 3
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