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Simplifying 14 + 3a = 8a + -3(a + -4) Reorder the terms: 14 + 3a = 8a + -3(-4 + a) 14 + 3a = 8a + (-4 * -3 + a * -3) 14 + 3a = 8a + (12 + -3a) Reorder the terms: 14 + 3a = 12 + 8a + -3a Combine like terms: 8a + -3a = 5a 14 + 3a = 12 + 5a Solving 14 + 3a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + 3a + -5a = 12 + 5a + -5a Combine like terms: 3a + -5a = -2a 14 + -2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -2a = 12 + 0 14 + -2a = 12 Add '-14' to each side of the equation. 14 + -14 + -2a = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 12 + -14 -2a = 12 + -14 Combine like terms: 12 + -14 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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