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Simplifying -1(7 + -7a) + -1(4 + 6a) + -22 = -5 + -6a + (-1a) + 4 (7 * -1 + -7a * -1) + -1(4 + 6a) + -22 = -5 + -6a + (-1a) + 4 (-7 + 7a) + -1(4 + 6a) + -22 = -5 + -6a + (-1a) + 4 -7 + 7a + (4 * -1 + 6a * -1) + -22 = -5 + -6a + (-1a) + 4 -7 + 7a + (-4 + -6a) + -22 = -5 + -6a + (-1a) + 4 Reorder the terms: -7 + -4 + -22 + 7a + -6a = -5 + -6a + (-1a) + 4 Combine like terms: -7 + -4 = -11 -11 + -22 + 7a + -6a = -5 + -6a + (-1a) + 4 Combine like terms: -11 + -22 = -33 -33 + 7a + -6a = -5 + -6a + (-1a) + 4 Combine like terms: 7a + -6a = 1a -33 + 1a = -5 + -6a + (-1a) + 4 Reorder the terms: -33 + 1a = -5 + 4 + -6a + (-1a) Combine like terms: -5 + 4 = -1 -33 + 1a = -1 + -6a + (-1a) Combine like terms: -6a + (-1a) = -7a -33 + 1a = -1 + -7a Solving -33 + 1a = -1 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -33 + 1a + 7a = -1 + -7a + 7a Combine like terms: 1a + 7a = 8a -33 + 8a = -1 + -7a + 7a Combine like terms: -7a + 7a = 0 -33 + 8a = -1 + 0 -33 + 8a = -1 Add '33' to each side of the equation. -33 + 33 + 8a = -1 + 33 Combine like terms: -33 + 33 = 0 0 + 8a = -1 + 33 8a = -1 + 33 Combine like terms: -1 + 33 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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