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Simplifying 39 + 2a = 5(3a + -5) + -1 Reorder the terms: 39 + 2a = 5(-5 + 3a) + -1 39 + 2a = (-5 * 5 + 3a * 5) + -1 39 + 2a = (-25 + 15a) + -1 Reorder the terms: 39 + 2a = -25 + -1 + 15a Combine like terms: -25 + -1 = -26 39 + 2a = -26 + 15a Solving 39 + 2a = -26 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 39 + 2a + -15a = -26 + 15a + -15a Combine like terms: 2a + -15a = -13a 39 + -13a = -26 + 15a + -15a Combine like terms: 15a + -15a = 0 39 + -13a = -26 + 0 39 + -13a = -26 Add '-39' to each side of the equation. 39 + -39 + -13a = -26 + -39 Combine like terms: 39 + -39 = 0 0 + -13a = -26 + -39 -13a = -26 + -39 Combine like terms: -26 + -39 = -65 -13a = -65 Divide each side by '-13'. a = 5 Simplifying a = 5
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