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Simplifying 8a + 14 = -2(4a + -7) Reorder the terms: 14 + 8a = -2(4a + -7) Reorder the terms: 14 + 8a = -2(-7 + 4a) 14 + 8a = (-7 * -2 + 4a * -2) 14 + 8a = (14 + -8a) Add '-14' to each side of the equation. 14 + -14 + 8a = 14 + -14 + -8a Combine like terms: 14 + -14 = 0 0 + 8a = 14 + -14 + -8a 8a = 14 + -14 + -8a Combine like terms: 14 + -14 = 0 8a = 0 + -8a 8a = -8a Solving 8a = -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 8a + 8a = -8a + 8a Combine like terms: 8a + 8a = 16a 16a = -8a + 8a Combine like terms: -8a + 8a = 0 16a = 0 Divide each side by '16'. a = 0 Simplifying a = 0
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