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Simplifying 5a + 15 + -1a = -4a + 6 + 1 Reorder the terms: 15 + 5a + -1a = -4a + 6 + 1 Combine like terms: 5a + -1a = 4a 15 + 4a = -4a + 6 + 1 Reorder the terms: 15 + 4a = 6 + 1 + -4a Combine like terms: 6 + 1 = 7 15 + 4a = 7 + -4a Solving 15 + 4a = 7 + -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 + 4a + 4a = 7 + -4a + 4a Combine like terms: 4a + 4a = 8a 15 + 8a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 8a = 7 + 0 15 + 8a = 7 Add '-15' to each side of the equation. 15 + -15 + 8a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8a = 7 + -15 8a = 7 + -15 Combine like terms: 7 + -15 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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