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Simplifying 2a + 13 = 9a + 6 Reorder the terms: 13 + 2a = 9a + 6 Reorder the terms: 13 + 2a = 6 + 9a Solving 13 + 2a = 6 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 13 + 2a + -9a = 6 + 9a + -9a Combine like terms: 2a + -9a = -7a 13 + -7a = 6 + 9a + -9a Combine like terms: 9a + -9a = 0 13 + -7a = 6 + 0 13 + -7a = 6 Add '-13' to each side of the equation. 13 + -13 + -7a = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -7a = 6 + -13 -7a = 6 + -13 Combine like terms: 6 + -13 = -7 -7a = -7 Divide each side by '-7'. a = 1 Simplifying a = 1
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