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Simplifying 3a + -11 = 8(a + 1) + 14a + 1 Reorder the terms: -11 + 3a = 8(a + 1) + 14a + 1 Reorder the terms: -11 + 3a = 8(1 + a) + 14a + 1 -11 + 3a = (1 * 8 + a * 8) + 14a + 1 -11 + 3a = (8 + 8a) + 14a + 1 Reorder the terms: -11 + 3a = 8 + 1 + 8a + 14a Combine like terms: 8 + 1 = 9 -11 + 3a = 9 + 8a + 14a Combine like terms: 8a + 14a = 22a -11 + 3a = 9 + 22a Solving -11 + 3a = 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 + 3a + -22a = 9 + 22a + -22a Combine like terms: 3a + -22a = -19a -11 + -19a = 9 + 22a + -22a Combine like terms: 22a + -22a = 0 -11 + -19a = 9 + 0 -11 + -19a = 9 Add '11' to each side of the equation. -11 + 11 + -19a = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -19a = 9 + 11 -19a = 9 + 11 Combine like terms: 9 + 11 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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