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Simplifying 3(13 + -2a) = (-3) + a (13 * 3 + -2a * 3) = (-3) + a (39 + -6a) = (-3) + a 39 + -6a = -3 + a Solving 39 + -6a = -3 + 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 = -3 + a + -1a Combine like terms: -6a + -1a = -7a 39 + -7a = -3 + a + -1a Combine like terms: a + -1a = 0 39 + -7a = -3 + 0 39 + -7a = -3 Add '-39' to each side of the equation. 39 + -39 + -7a = -3 + -39 Combine like terms: 39 + -39 = 0 0 + -7a = -3 + -39 -7a = -3 + -39 Combine like terms: -3 + -39 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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