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Simplifying 6 + -4(a + 6) = -5a + -14 Reorder the terms: 6 + -4(6 + a) = -5a + -14 6 + (6 * -4 + a * -4) = -5a + -14 6 + (-24 + -4a) = -5a + -14 Combine like terms: 6 + -24 = -18 -18 + -4a = -5a + -14 Reorder the terms: -18 + -4a = -14 + -5a Solving -18 + -4a = -14 + -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. -18 + -4a + 5a = -14 + -5a + 5a Combine like terms: -4a + 5a = 1a -18 + 1a = -14 + -5a + 5a Combine like terms: -5a + 5a = 0 -18 + 1a = -14 + 0 -18 + 1a = -14 Add '18' to each side of the equation. -18 + 18 + 1a = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 1a = -14 + 18 1a = -14 + 18 Combine like terms: -14 + 18 = 4 1a = 4 Divide each side by '1'. a = 4 Simplifying a = 4
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