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Simplifying a + 3a + -15 = 25 + -2a + 6 Reorder the terms: -15 + a + 3a = 25 + -2a + 6 Combine like terms: a + 3a = 4a -15 + 4a = 25 + -2a + 6 Reorder the terms: -15 + 4a = 25 + 6 + -2a Combine like terms: 25 + 6 = 31 -15 + 4a = 31 + -2a Solving -15 + 4a = 31 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -15 + 4a + 2a = 31 + -2a + 2a Combine like terms: 4a + 2a = 6a -15 + 6a = 31 + -2a + 2a Combine like terms: -2a + 2a = 0 -15 + 6a = 31 + 0 -15 + 6a = 31 Add '15' to each side of the equation. -15 + 15 + 6a = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 6a = 31 + 15 6a = 31 + 15 Combine like terms: 31 + 15 = 46 6a = 46 Divide each side by '6'. a = 7.666666667 Simplifying a = 7.666666667
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