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Simplifying 3(13 + -2a) = -13 + a (13 * 3 + -2a * 3) = -13 + a (39 + -6a) = -13 + a Solving 39 + -6a = -13 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 39 + -6a + -1a = -13 + a + -1a Combine like terms: -6a + -1a = -7a 39 + -7a = -13 + a + -1a Combine like terms: a + -1a = 0 39 + -7a = -13 + 0 39 + -7a = -13 Add '-39' to each side of the equation. 39 + -39 + -7a = -13 + -39 Combine like terms: 39 + -39 = 0 0 + -7a = -13 + -39 -7a = -13 + -39 Combine like terms: -13 + -39 = -52 -7a = -52 Divide each side by '-7'. a = 7.428571429 Simplifying a = 7.428571429
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