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Simplifying 6(g + 3) = -21(g + 31) Reorder the terms: 6(3 + g) = -21(g + 31) (3 * 6 + g * 6) = -21(g + 31) (18 + 6g) = -21(g + 31) Reorder the terms: 18 + 6g = -21(31 + g) 18 + 6g = (31 * -21 + g * -21) 18 + 6g = (-651 + -21g) Solving 18 + 6g = -651 + -21g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '21g' to each side of the equation. 18 + 6g + 21g = -651 + -21g + 21g Combine like terms: 6g + 21g = 27g 18 + 27g = -651 + -21g + 21g Combine like terms: -21g + 21g = 0 18 + 27g = -651 + 0 18 + 27g = -651 Add '-18' to each side of the equation. 18 + -18 + 27g = -651 + -18 Combine like terms: 18 + -18 = 0 0 + 27g = -651 + -18 27g = -651 + -18 Combine like terms: -651 + -18 = -669 27g = -669 Divide each side by '27'. g = -24.77777778 Simplifying g = -24.77777778
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