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Simplifying 4c + 5a + -8t = 3w + -2g Reorder the terms: 5a + 4c + -8t = 3w + -2g Reorder the terms: 5a + 4c + -8t = -2g + 3w Solving 5a + 4c + -8t = -2g + 3w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4c' to each side of the equation. 5a + 4c + -4c + -8t = -2g + -4c + 3w Combine like terms: 4c + -4c = 0 5a + 0 + -8t = -2g + -4c + 3w 5a + -8t = -2g + -4c + 3w Reorder the terms: 5a + -8t = -4c + -2g + 3w Add '8t' to each side of the equation. 5a + -8t + 8t = -4c + -2g + 8t + 3w Combine like terms: -8t + 8t = 0 5a + 0 = -4c + -2g + 8t + 3w 5a = -4c + -2g + 8t + 3w Divide each side by '5'. a = -0.8c + -0.4g + 1.6t + 0.6w Simplifying a = -0.8c + -0.4g + 1.6t + 0.6w
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