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Simplifying 3(1 + 5a) + -34a = 29(a + 15) (1 * 3 + 5a * 3) + -34a = 29(a + 15) (3 + 15a) + -34a = 29(a + 15) Combine like terms: 15a + -34a = -19a 3 + -19a = 29(a + 15) Reorder the terms: 3 + -19a = 29(15 + a) 3 + -19a = (15 * 29 + a * 29) 3 + -19a = (435 + 29a) Solving 3 + -19a = 435 + 29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29a' to each side of the equation. 3 + -19a + -29a = 435 + 29a + -29a Combine like terms: -19a + -29a = -48a 3 + -48a = 435 + 29a + -29a Combine like terms: 29a + -29a = 0 3 + -48a = 435 + 0 3 + -48a = 435 Add '-3' to each side of the equation. 3 + -3 + -48a = 435 + -3 Combine like terms: 3 + -3 = 0 0 + -48a = 435 + -3 -48a = 435 + -3 Combine like terms: 435 + -3 = 432 -48a = 432 Divide each side by '-48'. a = -9 Simplifying a = -9
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