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Simplifying 6(g + 6) = -2(g + 31) Reorder the terms: 6(6 + g) = -2(g + 31) (6 * 6 + g * 6) = -2(g + 31) (36 + 6g) = -2(g + 31) Reorder the terms: 36 + 6g = -2(31 + g) 36 + 6g = (31 * -2 + g * -2) 36 + 6g = (-62 + -2g) Solving 36 + 6g = -62 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. 36 + 6g + 2g = -62 + -2g + 2g Combine like terms: 6g + 2g = 8g 36 + 8g = -62 + -2g + 2g Combine like terms: -2g + 2g = 0 36 + 8g = -62 + 0 36 + 8g = -62 Add '-36' to each side of the equation. 36 + -36 + 8g = -62 + -36 Combine like terms: 36 + -36 = 0 0 + 8g = -62 + -36 8g = -62 + -36 Combine like terms: -62 + -36 = -98 8g = -98 Divide each side by '8'. g = -12.25 Simplifying g = -12.25
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