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Simplifying 5(a + -4) = 3a + 14 Reorder the terms: 5(-4 + a) = 3a + 14 (-4 * 5 + a * 5) = 3a + 14 (-20 + 5a) = 3a + 14 Reorder the terms: -20 + 5a = 14 + 3a Solving -20 + 5a = 14 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 5a + -3a = 14 + 3a + -3a Combine like terms: 5a + -3a = 2a -20 + 2a = 14 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 2a = 14 + 0 -20 + 2a = 14 Add '20' to each side of the equation. -20 + 20 + 2a = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 14 + 20 2a = 14 + 20 Combine like terms: 14 + 20 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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