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Simplifying -14 + a = -3(a + -6) Reorder the terms: -14 + a = -3(-6 + a) -14 + a = (-6 * -3 + a * -3) -14 + a = (18 + -3a) Solving -14 + a = 18 + -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. -14 + a + 3a = 18 + -3a + 3a Combine like terms: a + 3a = 4a -14 + 4a = 18 + -3a + 3a Combine like terms: -3a + 3a = 0 -14 + 4a = 18 + 0 -14 + 4a = 18 Add '14' to each side of the equation. -14 + 14 + 4a = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4a = 18 + 14 4a = 18 + 14 Combine like terms: 18 + 14 = 32 4a = 32 Divide each side by '4'. a = 8 Simplifying a = 8
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