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Simplifying -6a + -30 = -4(5 + 2a) Reorder the terms: -30 + -6a = -4(5 + 2a) -30 + -6a = (5 * -4 + 2a * -4) -30 + -6a = (-20 + -8a) Solving -30 + -6a = -20 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -30 + -6a + 8a = -20 + -8a + 8a Combine like terms: -6a + 8a = 2a -30 + 2a = -20 + -8a + 8a Combine like terms: -8a + 8a = 0 -30 + 2a = -20 + 0 -30 + 2a = -20 Add '30' to each side of the equation. -30 + 30 + 2a = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = -20 + 30 2a = -20 + 30 Combine like terms: -20 + 30 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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