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Simplifying 15 + 5a = -6 + 3a Solving 15 + 5a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 15 + 5a + -3a = -6 + 3a + -3a Combine like terms: 5a + -3a = 2a 15 + 2a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + 2a = -6 + 0 15 + 2a = -6 Add '-15' to each side of the equation. 15 + -15 + 2a = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = -6 + -15 2a = -6 + -15 Combine like terms: -6 + -15 = -21 2a = -21 Divide each side by '2'. a = -10.5 Simplifying a = -10.5
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