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Simplifying 24 + -4[8 + 9(3g + -3)] + 8(9g + 3) = 0 Reorder the terms: 24 + -4[8 + 9(-3 + 3g)] + 8(9g + 3) = 0 24 + -4[8 + (-3 * 9 + 3g * 9)] + 8(9g + 3) = 0 24 + -4[8 + (-27 + 27g)] + 8(9g + 3) = 0 Combine like terms: 8 + -27 = -19 24 + -4[-19 + 27g] + 8(9g + 3) = 0 24 + [-19 * -4 + 27g * -4] + 8(9g + 3) = 0 24 + [76 + -108g] + 8(9g + 3) = 0 Reorder the terms: 24 + 76 + -108g + 8(3 + 9g) = 0 24 + 76 + -108g + (3 * 8 + 9g * 8) = 0 24 + 76 + -108g + (24 + 72g) = 0 Reorder the terms: 24 + 76 + 24 + -108g + 72g = 0 Combine like terms: 24 + 76 = 100 100 + 24 + -108g + 72g = 0 Combine like terms: 100 + 24 = 124 124 + -108g + 72g = 0 Combine like terms: -108g + 72g = -36g 124 + -36g = 0 Solving 124 + -36g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-124' to each side of the equation. 124 + -124 + -36g = 0 + -124 Combine like terms: 124 + -124 = 0 0 + -36g = 0 + -124 -36g = 0 + -124 Combine like terms: 0 + -124 = -124 -36g = -124 Divide each side by '-36'. g = 3.444444444 Simplifying g = 3.444444444
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