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Simplifying -5(a + 7) = -36 + -6a Reorder the terms: -5(7 + a) = -36 + -6a (7 * -5 + a * -5) = -36 + -6a (-35 + -5a) = -36 + -6a Solving -35 + -5a = -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. -35 + -5a + 6a = -36 + -6a + 6a Combine like terms: -5a + 6a = 1a -35 + 1a = -36 + -6a + 6a Combine like terms: -6a + 6a = 0 -35 + 1a = -36 + 0 -35 + 1a = -36 Add '35' to each side of the equation. -35 + 35 + 1a = -36 + 35 Combine like terms: -35 + 35 = 0 0 + 1a = -36 + 35 1a = -36 + 35 Combine like terms: -36 + 35 = -1 1a = -1 Divide each side by '1'. a = -1 Simplifying a = -1
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