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Simplifying -5(7 + -6a) + -6(4a + 6) = -77 (7 * -5 + -6a * -5) + -6(4a + 6) = -77 (-35 + 30a) + -6(4a + 6) = -77 Reorder the terms: -35 + 30a + -6(6 + 4a) = -77 -35 + 30a + (6 * -6 + 4a * -6) = -77 -35 + 30a + (-36 + -24a) = -77 Reorder the terms: -35 + -36 + 30a + -24a = -77 Combine like terms: -35 + -36 = -71 -71 + 30a + -24a = -77 Combine like terms: 30a + -24a = 6a -71 + 6a = -77 Solving -71 + 6a = -77 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 6a = -77 + 71 Combine like terms: -71 + 71 = 0 0 + 6a = -77 + 71 6a = -77 + 71 Combine like terms: -77 + 71 = -6 6a = -6 Divide each side by '6'. a = -1 Simplifying a = -1
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