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Simplifying 3a + -6 = 5(a + 1) + 14a + 6 Reorder the terms: -6 + 3a = 5(a + 1) + 14a + 6 Reorder the terms: -6 + 3a = 5(1 + a) + 14a + 6 -6 + 3a = (1 * 5 + a * 5) + 14a + 6 -6 + 3a = (5 + 5a) + 14a + 6 Reorder the terms: -6 + 3a = 5 + 6 + 5a + 14a Combine like terms: 5 + 6 = 11 -6 + 3a = 11 + 5a + 14a Combine like terms: 5a + 14a = 19a -6 + 3a = 11 + 19a Solving -6 + 3a = 11 + 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. -6 + 3a + -19a = 11 + 19a + -19a Combine like terms: 3a + -19a = -16a -6 + -16a = 11 + 19a + -19a Combine like terms: 19a + -19a = 0 -6 + -16a = 11 + 0 -6 + -16a = 11 Add '6' to each side of the equation. -6 + 6 + -16a = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -16a = 11 + 6 -16a = 11 + 6 Combine like terms: 11 + 6 = 17 -16a = 17 Divide each side by '-16'. a = -1.0625 Simplifying a = -1.0625
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