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Simplifying -30 + -6a = -6(a + 5) + -8a Reorder the terms: -30 + -6a = -6(5 + a) + -8a -30 + -6a = (5 * -6 + a * -6) + -8a -30 + -6a = (-30 + -6a) + -8a Combine like terms: -6a + -8a = -14a -30 + -6a = -30 + -14a Add '30' to each side of the equation. -30 + 30 + -6a = -30 + 30 + -14a Combine like terms: -30 + 30 = 0 0 + -6a = -30 + 30 + -14a -6a = -30 + 30 + -14a Combine like terms: -30 + 30 = 0 -6a = 0 + -14a -6a = -14a Solving -6a = -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -6a + 14a = -14a + 14a Combine like terms: -6a + 14a = 8a 8a = -14a + 14a Combine like terms: -14a + 14a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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