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Simplifying (5g + -3) + -1(3g + -27) = 27 Reorder the terms: (-3 + 5g) + -1(3g + -27) = 27 Remove parenthesis around (-3 + 5g) -3 + 5g + -1(3g + -27) = 27 Reorder the terms: -3 + 5g + -1(-27 + 3g) = 27 -3 + 5g + (-27 * -1 + 3g * -1) = 27 -3 + 5g + (27 + -3g) = 27 Reorder the terms: -3 + 27 + 5g + -3g = 27 Combine like terms: -3 + 27 = 24 24 + 5g + -3g = 27 Combine like terms: 5g + -3g = 2g 24 + 2g = 27 Solving 24 + 2g = 27 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2g = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 2g = 27 + -24 2g = 27 + -24 Combine like terms: 27 + -24 = 3 2g = 3 Divide each side by '2'. g = 1.5 Simplifying g = 1.5
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