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Simplifying -22 + -9a + 8b + -16 + -1b + -5a = 0 Reorder the terms: -22 + -16 + -9a + -5a + 8b + -1b = 0 Combine like terms: -22 + -16 = -38 -38 + -9a + -5a + 8b + -1b = 0 Combine like terms: -9a + -5a = -14a -38 + -14a + 8b + -1b = 0 Combine like terms: 8b + -1b = 7b -38 + -14a + 7b = 0 Solving -38 + -14a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38' to each side of the equation. -38 + -14a + 38 + 7b = 0 + 38 Reorder the terms: -38 + 38 + -14a + 7b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -14a + 7b = 0 + 38 -14a + 7b = 0 + 38 Combine like terms: 0 + 38 = 38 -14a + 7b = 38 Add '-7b' to each side of the equation. -14a + 7b + -7b = 38 + -7b Combine like terms: 7b + -7b = 0 -14a + 0 = 38 + -7b -14a = 38 + -7b Divide each side by '-14'. a = -2.714285714 + 0.5b Simplifying a = -2.714285714 + 0.5b
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