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Simplifying 13a + 7 + a = 15 + 10a Reorder the terms: 7 + 13a + a = 15 + 10a Combine like terms: 13a + a = 14a 7 + 14a = 15 + 10a Solving 7 + 14a = 15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 7 + 14a + -10a = 15 + 10a + -10a Combine like terms: 14a + -10a = 4a 7 + 4a = 15 + 10a + -10a Combine like terms: 10a + -10a = 0 7 + 4a = 15 + 0 7 + 4a = 15 Add '-7' to each side of the equation. 7 + -7 + 4a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 15 + -7 4a = 15 + -7 Combine like terms: 15 + -7 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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