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Simplifying 7a + 5a + 13 + -7 = 7a + 9 + 3a Reorder the terms: 13 + -7 + 7a + 5a = 7a + 9 + 3a Combine like terms: 13 + -7 = 6 6 + 7a + 5a = 7a + 9 + 3a Combine like terms: 7a + 5a = 12a 6 + 12a = 7a + 9 + 3a Reorder the terms: 6 + 12a = 9 + 7a + 3a Combine like terms: 7a + 3a = 10a 6 + 12a = 9 + 10a Solving 6 + 12a = 9 + 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. 6 + 12a + -10a = 9 + 10a + -10a Combine like terms: 12a + -10a = 2a 6 + 2a = 9 + 10a + -10a Combine like terms: 10a + -10a = 0 6 + 2a = 9 + 0 6 + 2a = 9 Add '-6' to each side of the equation. 6 + -6 + 2a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 9 + -6 2a = 9 + -6 Combine like terms: 9 + -6 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5
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