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Simplifying 3(13 + -5a) = 7(a + 4) (13 * 3 + -5a * 3) = 7(a + 4) (39 + -15a) = 7(a + 4) Reorder the terms: 39 + -15a = 7(4 + a) 39 + -15a = (4 * 7 + a * 7) 39 + -15a = (28 + 7a) Solving 39 + -15a = 28 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 39 + -15a + -7a = 28 + 7a + -7a Combine like terms: -15a + -7a = -22a 39 + -22a = 28 + 7a + -7a Combine like terms: 7a + -7a = 0 39 + -22a = 28 + 0 39 + -22a = 28 Add '-39' to each side of the equation. 39 + -39 + -22a = 28 + -39 Combine like terms: 39 + -39 = 0 0 + -22a = 28 + -39 -22a = 28 + -39 Combine like terms: 28 + -39 = -11 -22a = -11 Divide each side by '-22'. a = 0.5 Simplifying a = 0.5
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