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Simplifying 5g + 2(g + -9) = 3(2g + -5 + 11) Reorder the terms: 5g + 2(-9 + g) = 3(2g + -5 + 11) 5g + (-9 * 2 + g * 2) = 3(2g + -5 + 11) 5g + (-18 + 2g) = 3(2g + -5 + 11) Reorder the terms: -18 + 5g + 2g = 3(2g + -5 + 11) Combine like terms: 5g + 2g = 7g -18 + 7g = 3(2g + -5 + 11) Reorder the terms: -18 + 7g = 3(-5 + 11 + 2g) Combine like terms: -5 + 11 = 6 -18 + 7g = 3(6 + 2g) -18 + 7g = (6 * 3 + 2g * 3) -18 + 7g = (18 + 6g) Solving -18 + 7g = 18 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -18 + 7g + -6g = 18 + 6g + -6g Combine like terms: 7g + -6g = 1g -18 + 1g = 18 + 6g + -6g Combine like terms: 6g + -6g = 0 -18 + 1g = 18 + 0 -18 + 1g = 18 Add '18' to each side of the equation. -18 + 18 + 1g = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 1g = 18 + 18 1g = 18 + 18 Combine like terms: 18 + 18 = 36 1g = 36 Divide each side by '1'. g = 36 Simplifying g = 36
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