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Simplifying 5a + -11 = 8a + 8 + 14a + 1 Reorder the terms: -11 + 5a = 8a + 8 + 14a + 1 Reorder the terms: -11 + 5a = 8 + 1 + 8a + 14a Combine like terms: 8 + 1 = 9 -11 + 5a = 9 + 8a + 14a Combine like terms: 8a + 14a = 22a -11 + 5a = 9 + 22a Solving -11 + 5a = 9 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -11 + 5a + -22a = 9 + 22a + -22a Combine like terms: 5a + -22a = -17a -11 + -17a = 9 + 22a + -22a Combine like terms: 22a + -22a = 0 -11 + -17a = 9 + 0 -11 + -17a = 9 Add '11' to each side of the equation. -11 + 11 + -17a = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -17a = 9 + 11 -17a = 9 + 11 Combine like terms: 9 + 11 = 20 -17a = 20 Divide each side by '-17'. a = -1.176470588 Simplifying a = -1.176470588
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