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Simplifying 2(3 + -1g) = 21 + -5g (3 * 2 + -1g * 2) = 21 + -5g (6 + -2g) = 21 + -5g Solving 6 + -2g = 21 + -5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g' to each side of the equation. 6 + -2g + 5g = 21 + -5g + 5g Combine like terms: -2g + 5g = 3g 6 + 3g = 21 + -5g + 5g Combine like terms: -5g + 5g = 0 6 + 3g = 21 + 0 6 + 3g = 21 Add '-6' to each side of the equation. 6 + -6 + 3g = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3g = 21 + -6 3g = 21 + -6 Combine like terms: 21 + -6 = 15 3g = 15 Divide each side by '3'. g = 5 Simplifying g = 5
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