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Simplifying 2(5a + 3) = 14a + -29 Reorder the terms: 2(3 + 5a) = 14a + -29 (3 * 2 + 5a * 2) = 14a + -29 (6 + 10a) = 14a + -29 Reorder the terms: 6 + 10a = -29 + 14a Solving 6 + 10a = -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. 6 + 10a + -14a = -29 + 14a + -14a Combine like terms: 10a + -14a = -4a 6 + -4a = -29 + 14a + -14a Combine like terms: 14a + -14a = 0 6 + -4a = -29 + 0 6 + -4a = -29 Add '-6' to each side of the equation. 6 + -6 + -4a = -29 + -6 Combine like terms: 6 + -6 = 0 0 + -4a = -29 + -6 -4a = -29 + -6 Combine like terms: -29 + -6 = -35 -4a = -35 Divide each side by '-4'. a = 8.75 Simplifying a = 8.75
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