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Simplifying 14 + 4(a + -5) = 18 + -4a Reorder the terms: 14 + 4(-5 + a) = 18 + -4a 14 + (-5 * 4 + a * 4) = 18 + -4a 14 + (-20 + 4a) = 18 + -4a Combine like terms: 14 + -20 = -6 -6 + 4a = 18 + -4a Solving -6 + 4a = 18 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -6 + 4a + 4a = 18 + -4a + 4a Combine like terms: 4a + 4a = 8a -6 + 8a = 18 + -4a + 4a Combine like terms: -4a + 4a = 0 -6 + 8a = 18 + 0 -6 + 8a = 18 Add '6' to each side of the equation. -6 + 6 + 8a = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 8a = 18 + 6 8a = 18 + 6 Combine like terms: 18 + 6 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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