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Simplifying 10(g + 5) = 3(g + 9) Reorder the terms: 10(5 + g) = 3(g + 9) (5 * 10 + g * 10) = 3(g + 9) (50 + 10g) = 3(g + 9) Reorder the terms: 50 + 10g = 3(9 + g) 50 + 10g = (9 * 3 + g * 3) 50 + 10g = (27 + 3g) Solving 50 + 10g = 27 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. 50 + 10g + -3g = 27 + 3g + -3g Combine like terms: 10g + -3g = 7g 50 + 7g = 27 + 3g + -3g Combine like terms: 3g + -3g = 0 50 + 7g = 27 + 0 50 + 7g = 27 Add '-50' to each side of the equation. 50 + -50 + 7g = 27 + -50 Combine like terms: 50 + -50 = 0 0 + 7g = 27 + -50 7g = 27 + -50 Combine like terms: 27 + -50 = -23 7g = -23 Divide each side by '7'. g = -3.285714286 Simplifying g = -3.285714286
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