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Simplifying 3a + -6 = 8(a + 1) + 14a + 6 Reorder the terms: -6 + 3a = 8(a + 1) + 14a + 6 Reorder the terms: -6 + 3a = 8(1 + a) + 14a + 6 -6 + 3a = (1 * 8 + a * 8) + 14a + 6 -6 + 3a = (8 + 8a) + 14a + 6 Reorder the terms: -6 + 3a = 8 + 6 + 8a + 14a Combine like terms: 8 + 6 = 14 -6 + 3a = 14 + 8a + 14a Combine like terms: 8a + 14a = 22a -6 + 3a = 14 + 22a Solving -6 + 3a = 14 + 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. -6 + 3a + -22a = 14 + 22a + -22a Combine like terms: 3a + -22a = -19a -6 + -19a = 14 + 22a + -22a Combine like terms: 22a + -22a = 0 -6 + -19a = 14 + 0 -6 + -19a = 14 Add '6' to each side of the equation. -6 + 6 + -19a = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -19a = 14 + 6 -19a = 14 + 6 Combine like terms: 14 + 6 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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