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Simplifying -8 + -9(3g + -14) = 8(-4g + 18) Reorder the terms: -8 + -9(-14 + 3g) = 8(-4g + 18) -8 + (-14 * -9 + 3g * -9) = 8(-4g + 18) -8 + (126 + -27g) = 8(-4g + 18) Combine like terms: -8 + 126 = 118 118 + -27g = 8(-4g + 18) Reorder the terms: 118 + -27g = 8(18 + -4g) 118 + -27g = (18 * 8 + -4g * 8) 118 + -27g = (144 + -32g) Solving 118 + -27g = 144 + -32g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '32g' to each side of the equation. 118 + -27g + 32g = 144 + -32g + 32g Combine like terms: -27g + 32g = 5g 118 + 5g = 144 + -32g + 32g Combine like terms: -32g + 32g = 0 118 + 5g = 144 + 0 118 + 5g = 144 Add '-118' to each side of the equation. 118 + -118 + 5g = 144 + -118 Combine like terms: 118 + -118 = 0 0 + 5g = 144 + -118 5g = 144 + -118 Combine like terms: 144 + -118 = 26 5g = 26 Divide each side by '5'. g = 5.2 Simplifying g = 5.2
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