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Simplifying 14 + -2a = 5(7a + -5) + 2a Reorder the terms: 14 + -2a = 5(-5 + 7a) + 2a 14 + -2a = (-5 * 5 + 7a * 5) + 2a 14 + -2a = (-25 + 35a) + 2a Combine like terms: 35a + 2a = 37a 14 + -2a = -25 + 37a Solving 14 + -2a = -25 + 37a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37a' to each side of the equation. 14 + -2a + -37a = -25 + 37a + -37a Combine like terms: -2a + -37a = -39a 14 + -39a = -25 + 37a + -37a Combine like terms: 37a + -37a = 0 14 + -39a = -25 + 0 14 + -39a = -25 Add '-14' to each side of the equation. 14 + -14 + -39a = -25 + -14 Combine like terms: 14 + -14 = 0 0 + -39a = -25 + -14 -39a = -25 + -14 Combine like terms: -25 + -14 = -39 -39a = -39 Divide each side by '-39'. a = 1 Simplifying a = 1
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