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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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