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Simplifying 15 + 6a = 1 + 4a Solving 15 + 6a = 1 + 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. 15 + 6a + -4a = 1 + 4a + -4a Combine like terms: 6a + -4a = 2a 15 + 2a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + 2a = 1 + 0 15 + 2a = 1 Add '-15' to each side of the equation. 15 + -15 + 2a = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 1 + -15 2a = 1 + -15 Combine like terms: 1 + -15 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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