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Simplifying 8(-5g + 7) = 2(-13g + 10) Reorder the terms: 8(7 + -5g) = 2(-13g + 10) (7 * 8 + -5g * 8) = 2(-13g + 10) (56 + -40g) = 2(-13g + 10) Reorder the terms: 56 + -40g = 2(10 + -13g) 56 + -40g = (10 * 2 + -13g * 2) 56 + -40g = (20 + -26g) Solving 56 + -40g = 20 + -26g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '26g' to each side of the equation. 56 + -40g + 26g = 20 + -26g + 26g Combine like terms: -40g + 26g = -14g 56 + -14g = 20 + -26g + 26g Combine like terms: -26g + 26g = 0 56 + -14g = 20 + 0 56 + -14g = 20 Add '-56' to each side of the equation. 56 + -56 + -14g = 20 + -56 Combine like terms: 56 + -56 = 0 0 + -14g = 20 + -56 -14g = 20 + -56 Combine like terms: 20 + -56 = -36 -14g = -36 Divide each side by '-14'. g = 2.571428571 Simplifying g = 2.571428571
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