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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 + 2g) + 11 -18 + 7g = (-5 * 3 + 2g * 3) + 11 -18 + 7g = (-15 + 6g) + 11 Reorder the terms: -18 + 7g = -15 + 11 + 6g Combine like terms: -15 + 11 = -4 -18 + 7g = -4 + 6g Solving -18 + 7g = -4 + 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 = -4 + 6g + -6g Combine like terms: 7g + -6g = 1g -18 + 1g = -4 + 6g + -6g Combine like terms: 6g + -6g = 0 -18 + 1g = -4 + 0 -18 + 1g = -4 Add '18' to each side of the equation. -18 + 18 + 1g = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1g = -4 + 18 1g = -4 + 18 Combine like terms: -4 + 18 = 14 1g = 14 Divide each side by '1'. g = 14 Simplifying g = 14
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