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Simplifying 5(5a + 3) = 14a + -29 Reorder the terms: 5(3 + 5a) = 14a + -29 (3 * 5 + 5a * 5) = 14a + -29 (15 + 25a) = 14a + -29 Reorder the terms: 15 + 25a = -29 + 14a Solving 15 + 25a = -29 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 15 + 25a + -14a = -29 + 14a + -14a Combine like terms: 25a + -14a = 11a 15 + 11a = -29 + 14a + -14a Combine like terms: 14a + -14a = 0 15 + 11a = -29 + 0 15 + 11a = -29 Add '-15' to each side of the equation. 15 + -15 + 11a = -29 + -15 Combine like terms: 15 + -15 = 0 0 + 11a = -29 + -15 11a = -29 + -15 Combine like terms: -29 + -15 = -44 11a = -44 Divide each side by '11'. a = -4 Simplifying a = -4
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