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Simplifying 9g + -1s + 6a = 8g + -2a + 3 Reorder the terms: 6a + 9g + -1s = 8g + -2a + 3 Reorder the terms: 6a + 9g + -1s = 3 + -2a + 8g Solving 6a + 9g + -1s = 3 + -2a + 8g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6a + 9g + 2a + -1s = 3 + -2a + 2a + 8g Reorder the terms: 6a + 2a + 9g + -1s = 3 + -2a + 2a + 8g Combine like terms: 6a + 2a = 8a 8a + 9g + -1s = 3 + -2a + 2a + 8g Combine like terms: -2a + 2a = 0 8a + 9g + -1s = 3 + 0 + 8g 8a + 9g + -1s = 3 + 8g Add '-9g' to each side of the equation. 8a + 9g + -9g + -1s = 3 + 8g + -9g Combine like terms: 9g + -9g = 0 8a + 0 + -1s = 3 + 8g + -9g 8a + -1s = 3 + 8g + -9g Combine like terms: 8g + -9g = -1g 8a + -1s = 3 + -1g Add 's' to each side of the equation. 8a + -1s + s = 3 + -1g + s Combine like terms: -1s + s = 0 8a + 0 = 3 + -1g + s 8a = 3 + -1g + s Divide each side by '8'. a = 0.375 + -0.125g + 0.125s Simplifying a = 0.375 + -0.125g + 0.125s
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