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Simplifying 14 + 3a = 3 + -4(5a + 3) Reorder the terms: 14 + 3a = 3 + -4(3 + 5a) 14 + 3a = 3 + (3 * -4 + 5a * -4) 14 + 3a = 3 + (-12 + -20a) Combine like terms: 3 + -12 = -9 14 + 3a = -9 + -20a Solving 14 + 3a = -9 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 14 + 3a + 20a = -9 + -20a + 20a Combine like terms: 3a + 20a = 23a 14 + 23a = -9 + -20a + 20a Combine like terms: -20a + 20a = 0 14 + 23a = -9 + 0 14 + 23a = -9 Add '-14' to each side of the equation. 14 + -14 + 23a = -9 + -14 Combine like terms: 14 + -14 = 0 0 + 23a = -9 + -14 23a = -9 + -14 Combine like terms: -9 + -14 = -23 23a = -23 Divide each side by '23'. a = -1 Simplifying a = -1
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