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Simplifying 18g + 3(-5g + 9) = -2(g + -6) Reorder the terms: 18g + 3(9 + -5g) = -2(g + -6) 18g + (9 * 3 + -5g * 3) = -2(g + -6) 18g + (27 + -15g) = -2(g + -6) Reorder the terms: 27 + 18g + -15g = -2(g + -6) Combine like terms: 18g + -15g = 3g 27 + 3g = -2(g + -6) Reorder the terms: 27 + 3g = -2(-6 + g) 27 + 3g = (-6 * -2 + g * -2) 27 + 3g = (12 + -2g) Solving 27 + 3g = 12 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. 27 + 3g + 2g = 12 + -2g + 2g Combine like terms: 3g + 2g = 5g 27 + 5g = 12 + -2g + 2g Combine like terms: -2g + 2g = 0 27 + 5g = 12 + 0 27 + 5g = 12 Add '-27' to each side of the equation. 27 + -27 + 5g = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5g = 12 + -27 5g = 12 + -27 Combine like terms: 12 + -27 = -15 5g = -15 Divide each side by '5'. g = -3 Simplifying g = -3
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