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Simplifying -6 + 2a = -6(a + 5) Reorder the terms: -6 + 2a = -6(5 + a) -6 + 2a = (5 * -6 + a * -6) -6 + 2a = (-30 + -6a) Solving -6 + 2a = -30 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -6 + 2a + 6a = -30 + -6a + 6a Combine like terms: 2a + 6a = 8a -6 + 8a = -30 + -6a + 6a Combine like terms: -6a + 6a = 0 -6 + 8a = -30 + 0 -6 + 8a = -30 Add '6' to each side of the equation. -6 + 6 + 8a = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 8a = -30 + 6 8a = -30 + 6 Combine like terms: -30 + 6 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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