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Simplifying -3a + 6 + 5a = -7a + -8a Reorder the terms: 6 + -3a + 5a = -7a + -8a Combine like terms: -3a + 5a = 2a 6 + 2a = -7a + -8a Combine like terms: -7a + -8a = -15a 6 + 2a = -15a Solving 6 + 2a = -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 6 + 2a + 15a = -15a + 15a Combine like terms: 2a + 15a = 17a 6 + 17a = -15a + 15a Combine like terms: -15a + 15a = 0 6 + 17a = 0 Add '-6' to each side of the equation. 6 + -6 + 17a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17a = 0 + -6 17a = 0 + -6 Combine like terms: 0 + -6 = -6 17a = -6 Divide each side by '17'. a = -0.3529411765 Simplifying a = -0.3529411765
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