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