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Simplifying -1(7 + -7a) + -1(7 + 6a) + -8 = -4 + -5a + -1a + 3 (7 * -1 + -7a * -1) + -1(7 + 6a) + -8 = -4 + -5a + -1a + 3 (-7 + 7a) + -1(7 + 6a) + -8 = -4 + -5a + -1a + 3 -7 + 7a + (7 * -1 + 6a * -1) + -8 = -4 + -5a + -1a + 3 -7 + 7a + (-7 + -6a) + -8 = -4 + -5a + -1a + 3 Reorder the terms: -7 + -7 + -8 + 7a + -6a = -4 + -5a + -1a + 3 Combine like terms: -7 + -7 = -14 -14 + -8 + 7a + -6a = -4 + -5a + -1a + 3 Combine like terms: -14 + -8 = -22 -22 + 7a + -6a = -4 + -5a + -1a + 3 Combine like terms: 7a + -6a = 1a -22 + 1a = -4 + -5a + -1a + 3 Reorder the terms: -22 + 1a = -4 + 3 + -5a + -1a Combine like terms: -4 + 3 = -1 -22 + 1a = -1 + -5a + -1a Combine like terms: -5a + -1a = -6a -22 + 1a = -1 + -6a Solving -22 + 1a = -1 + -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. -22 + 1a + 6a = -1 + -6a + 6a Combine like terms: 1a + 6a = 7a -22 + 7a = -1 + -6a + 6a Combine like terms: -6a + 6a = 0 -22 + 7a = -1 + 0 -22 + 7a = -1 Add '22' to each side of the equation. -22 + 22 + 7a = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 7a = -1 + 22 7a = -1 + 22 Combine like terms: -1 + 22 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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