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Simplifying 14 + 4(a + -5) = 6 + -2a Reorder the terms: 14 + 4(-5 + a) = 6 + -2a 14 + (-5 * 4 + a * 4) = 6 + -2a 14 + (-20 + 4a) = 6 + -2a Combine like terms: 14 + -20 = -6 -6 + 4a = 6 + -2a Solving -6 + 4a = 6 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -6 + 4a + 2a = 6 + -2a + 2a Combine like terms: 4a + 2a = 6a -6 + 6a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 -6 + 6a = 6 + 0 -6 + 6a = 6 Add '6' to each side of the equation. -6 + 6 + 6a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6a = 6 + 6 6a = 6 + 6 Combine like terms: 6 + 6 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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