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Simplifying 6[g + 3] = -2[g + 31] Reorder the terms: 6[3 + g] = -2[g + 31] [3 * 6 + g * 6] = -2[g + 31] [18 + 6g] = -2[g + 31] Reorder the terms: 18 + 6g = -2[31 + g] 18 + 6g = [31 * -2 + g * -2] 18 + 6g = [-62 + -2g] Solving 18 + 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. 18 + 6g + 2g = -62 + -2g + 2g Combine like terms: 6g + 2g = 8g 18 + 8g = -62 + -2g + 2g Combine like terms: -2g + 2g = 0 18 + 8g = -62 + 0 18 + 8g = -62 Add '-18' to each side of the equation. 18 + -18 + 8g = -62 + -18 Combine like terms: 18 + -18 = 0 0 + 8g = -62 + -18 8g = -62 + -18 Combine like terms: -62 + -18 = -80 8g = -80 Divide each side by '8'. g = -10 Simplifying g = -10
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