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Simplifying 4a + 10 = 15 + -1a Reorder the terms: 10 + 4a = 15 + -1a Solving 10 + 4a = 15 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 10 + 4a + a = 15 + -1a + a Combine like terms: 4a + a = 5a 10 + 5a = 15 + -1a + a Combine like terms: -1a + a = 0 10 + 5a = 15 + 0 10 + 5a = 15 Add '-10' to each side of the equation. 10 + -10 + 5a = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 15 + -10 5a = 15 + -10 Combine like terms: 15 + -10 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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