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Simplifying 8a + -2a + 7 = 3 + -6a + 2a Reorder the terms: 7 + 8a + -2a = 3 + -6a + 2a Combine like terms: 8a + -2a = 6a 7 + 6a = 3 + -6a + 2a Combine like terms: -6a + 2a = -4a 7 + 6a = 3 + -4a Solving 7 + 6a = 3 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 7 + 6a + 4a = 3 + -4a + 4a Combine like terms: 6a + 4a = 10a 7 + 10a = 3 + -4a + 4a Combine like terms: -4a + 4a = 0 7 + 10a = 3 + 0 7 + 10a = 3 Add '-7' to each side of the equation. 7 + -7 + 10a = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 10a = 3 + -7 10a = 3 + -7 Combine like terms: 3 + -7 = -4 10a = -4 Divide each side by '10'. a = -0.4 Simplifying a = -0.4
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