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Simplifying 11(g + 5) = 2(g + 9) Reorder the terms: 11(5 + g) = 2(g + 9) (5 * 11 + g * 11) = 2(g + 9) (55 + 11g) = 2(g + 9) Reorder the terms: 55 + 11g = 2(9 + g) 55 + 11g = (9 * 2 + g * 2) 55 + 11g = (18 + 2g) Solving 55 + 11g = 18 + 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. 55 + 11g + -2g = 18 + 2g + -2g Combine like terms: 11g + -2g = 9g 55 + 9g = 18 + 2g + -2g Combine like terms: 2g + -2g = 0 55 + 9g = 18 + 0 55 + 9g = 18 Add '-55' to each side of the equation. 55 + -55 + 9g = 18 + -55 Combine like terms: 55 + -55 = 0 0 + 9g = 18 + -55 9g = 18 + -55 Combine like terms: 18 + -55 = -37 9g = -37 Divide each side by '9'. g = -4.111111111 Simplifying g = -4.111111111
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