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Simplifying -1(1 + 7a) + -6(7 + -1a) = 36 (1 * -1 + 7a * -1) + -6(7 + -1a) = 36 (-1 + -7a) + -6(7 + -1a) = 36 -1 + -7a + (7 * -6 + -1a * -6) = 36 -1 + -7a + (-42 + 6a) = 36 Reorder the terms: -1 + -42 + -7a + 6a = 36 Combine like terms: -1 + -42 = -43 -43 + -7a + 6a = 36 Combine like terms: -7a + 6a = -1a -43 + -1a = 36 Solving -43 + -1a = 36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -1a = 36 + 43 Combine like terms: -43 + 43 = 0 0 + -1a = 36 + 43 -1a = 36 + 43 Combine like terms: 36 + 43 = 79 -1a = 79 Divide each side by '-1'. a = -79 Simplifying a = -79
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