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Simplifying 10(g + 5) = 2(g + 9) Reorder the terms: 10(5 + g) = 2(g + 9) (5 * 10 + g * 10) = 2(g + 9) (50 + 10g) = 2(g + 9) Reorder the terms: 50 + 10g = 2(9 + g) 50 + 10g = (9 * 2 + g * 2) 50 + 10g = (18 + 2g) Solving 50 + 10g = 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. 50 + 10g + -2g = 18 + 2g + -2g Combine like terms: 10g + -2g = 8g 50 + 8g = 18 + 2g + -2g Combine like terms: 2g + -2g = 0 50 + 8g = 18 + 0 50 + 8g = 18 Add '-50' to each side of the equation. 50 + -50 + 8g = 18 + -50 Combine like terms: 50 + -50 = 0 0 + 8g = 18 + -50 8g = 18 + -50 Combine like terms: 18 + -50 = -32 8g = -32 Divide each side by '8'. g = -4 Simplifying g = -4
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