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Simplifying 4a + -2b + 3a = 6a + -8b + -7a Reorder the terms: 4a + 3a + -2b = 6a + -8b + -7a Combine like terms: 4a + 3a = 7a 7a + -2b = 6a + -8b + -7a Reorder the terms: 7a + -2b = 6a + -7a + -8b Combine like terms: 6a + -7a = -1a 7a + -2b = -1a + -8b Solving 7a + -2b = -1a + -8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7a + a + -2b = -1a + a + -8b Combine like terms: 7a + a = 8a 8a + -2b = -1a + a + -8b Combine like terms: -1a + a = 0 8a + -2b = 0 + -8b 8a + -2b = -8b Add '2b' to each side of the equation. 8a + -2b + 2b = -8b + 2b Combine like terms: -2b + 2b = 0 8a + 0 = -8b + 2b 8a = -8b + 2b Combine like terms: -8b + 2b = -6b 8a = -6b Divide each side by '8'. a = -0.75b Simplifying a = -0.75b
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