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Simplifying 36(g + 21) = 9g(1 + -4) Reorder the terms: 36(21 + g) = 9g(1 + -4) (21 * 36 + g * 36) = 9g(1 + -4) (756 + 36g) = 9g(1 + -4) Combine like terms: 1 + -4 = -3 756 + 36g = 9g(-3) Reorder the terms for easier multiplication: 756 + 36g = 9 * -3g Multiply 9 * -3 756 + 36g = -27g Solving 756 + 36g = -27g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '27g' to each side of the equation. 756 + 36g + 27g = -27g + 27g Combine like terms: 36g + 27g = 63g 756 + 63g = -27g + 27g Combine like terms: -27g + 27g = 0 756 + 63g = 0 Add '-756' to each side of the equation. 756 + -756 + 63g = 0 + -756 Combine like terms: 756 + -756 = 0 0 + 63g = 0 + -756 63g = 0 + -756 Combine like terms: 0 + -756 = -756 63g = -756 Divide each side by '63'. g = -12 Simplifying g = -12
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