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Simplifying 7a + -13 = 2a + 17 Reorder the terms: -13 + 7a = 2a + 17 Reorder the terms: -13 + 7a = 17 + 2a Solving -13 + 7a = 17 + 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. -13 + 7a + -2a = 17 + 2a + -2a Combine like terms: 7a + -2a = 5a -13 + 5a = 17 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 5a = 17 + 0 -13 + 5a = 17 Add '13' to each side of the equation. -13 + 13 + 5a = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 5a = 17 + 13 5a = 17 + 13 Combine like terms: 17 + 13 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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