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Simplifying 5(g + -9) = 2(g + 12) Reorder the terms: 5(-9 + g) = 2(g + 12) (-9 * 5 + g * 5) = 2(g + 12) (-45 + 5g) = 2(g + 12) Reorder the terms: -45 + 5g = 2(12 + g) -45 + 5g = (12 * 2 + g * 2) -45 + 5g = (24 + 2g) Solving -45 + 5g = 24 + 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. -45 + 5g + -2g = 24 + 2g + -2g Combine like terms: 5g + -2g = 3g -45 + 3g = 24 + 2g + -2g Combine like terms: 2g + -2g = 0 -45 + 3g = 24 + 0 -45 + 3g = 24 Add '45' to each side of the equation. -45 + 45 + 3g = 24 + 45 Combine like terms: -45 + 45 = 0 0 + 3g = 24 + 45 3g = 24 + 45 Combine like terms: 24 + 45 = 69 3g = 69 Divide each side by '3'. g = 23 Simplifying g = 23
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