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Simplifying 6(g + 3) = -2(g + 21) Reorder the terms: 6(3 + g) = -2(g + 21) (3 * 6 + g * 6) = -2(g + 21) (18 + 6g) = -2(g + 21) Reorder the terms: 18 + 6g = -2(21 + g) 18 + 6g = (21 * -2 + g * -2) 18 + 6g = (-42 + -2g) Solving 18 + 6g = -42 + -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 = -42 + -2g + 2g Combine like terms: 6g + 2g = 8g 18 + 8g = -42 + -2g + 2g Combine like terms: -2g + 2g = 0 18 + 8g = -42 + 0 18 + 8g = -42 Add '-18' to each side of the equation. 18 + -18 + 8g = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 8g = -42 + -18 8g = -42 + -18 Combine like terms: -42 + -18 = -60 8g = -60 Divide each side by '8'. g = -7.5 Simplifying g = -7.5
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