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Simplifying 14a + -29 = 5(2a + 3) Reorder the terms: -29 + 14a = 5(2a + 3) Reorder the terms: -29 + 14a = 5(3 + 2a) -29 + 14a = (3 * 5 + 2a * 5) -29 + 14a = (15 + 10a) Solving -29 + 14a = 15 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -29 + 14a + -10a = 15 + 10a + -10a Combine like terms: 14a + -10a = 4a -29 + 4a = 15 + 10a + -10a Combine like terms: 10a + -10a = 0 -29 + 4a = 15 + 0 -29 + 4a = 15 Add '29' to each side of the equation. -29 + 29 + 4a = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 4a = 15 + 29 4a = 15 + 29 Combine like terms: 15 + 29 = 44 4a = 44 Divide each side by '4'. a = 11 Simplifying a = 11
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