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Simplifying -6(2a + 1) + 6 = -36 + -6a Reorder the terms: -6(1 + 2a) + 6 = -36 + -6a (1 * -6 + 2a * -6) + 6 = -36 + -6a (-6 + -12a) + 6 = -36 + -6a Reorder the terms: -6 + 6 + -12a = -36 + -6a Combine like terms: -6 + 6 = 0 0 + -12a = -36 + -6a -12a = -36 + -6a Solving -12a = -36 + -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. -12a + 6a = -36 + -6a + 6a Combine like terms: -12a + 6a = -6a -6a = -36 + -6a + 6a Combine like terms: -6a + 6a = 0 -6a = -36 + 0 -6a = -36 Divide each side by '-6'. a = 6 Simplifying a = 6
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