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Simplifying 5a + -11 = 3(a + 1) + 16a + 1 Reorder the terms: -11 + 5a = 3(a + 1) + 16a + 1 Reorder the terms: -11 + 5a = 3(1 + a) + 16a + 1 -11 + 5a = (1 * 3 + a * 3) + 16a + 1 -11 + 5a = (3 + 3a) + 16a + 1 Reorder the terms: -11 + 5a = 3 + 1 + 3a + 16a Combine like terms: 3 + 1 = 4 -11 + 5a = 4 + 3a + 16a Combine like terms: 3a + 16a = 19a -11 + 5a = 4 + 19a Solving -11 + 5a = 4 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -11 + 5a + -19a = 4 + 19a + -19a Combine like terms: 5a + -19a = -14a -11 + -14a = 4 + 19a + -19a Combine like terms: 19a + -19a = 0 -11 + -14a = 4 + 0 -11 + -14a = 4 Add '11' to each side of the equation. -11 + 11 + -14a = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -14a = 4 + 11 -14a = 4 + 11 Combine like terms: 4 + 11 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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