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Simplifying 5g + -10 + 3g = 4g + 3(2g + -9) Reorder the terms: -10 + 5g + 3g = 4g + 3(2g + -9) Combine like terms: 5g + 3g = 8g -10 + 8g = 4g + 3(2g + -9) Reorder the terms: -10 + 8g = 4g + 3(-9 + 2g) -10 + 8g = 4g + (-9 * 3 + 2g * 3) -10 + 8g = 4g + (-27 + 6g) Reorder the terms: -10 + 8g = -27 + 4g + 6g Combine like terms: 4g + 6g = 10g -10 + 8g = -27 + 10g Solving -10 + 8g = -27 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -10 + 8g + -10g = -27 + 10g + -10g Combine like terms: 8g + -10g = -2g -10 + -2g = -27 + 10g + -10g Combine like terms: 10g + -10g = 0 -10 + -2g = -27 + 0 -10 + -2g = -27 Add '10' to each side of the equation. -10 + 10 + -2g = -27 + 10 Combine like terms: -10 + 10 = 0 0 + -2g = -27 + 10 -2g = -27 + 10 Combine like terms: -27 + 10 = -17 -2g = -17 Divide each side by '-2'. g = 8.5 Simplifying g = 8.5
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