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Simplifying -14a + 2 = 40 + -2(4a + 1) Reorder the terms: 2 + -14a = 40 + -2(4a + 1) Reorder the terms: 2 + -14a = 40 + -2(1 + 4a) 2 + -14a = 40 + (1 * -2 + 4a * -2) 2 + -14a = 40 + (-2 + -8a) Combine like terms: 40 + -2 = 38 2 + -14a = 38 + -8a Solving 2 + -14a = 38 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 2 + -14a + 8a = 38 + -8a + 8a Combine like terms: -14a + 8a = -6a 2 + -6a = 38 + -8a + 8a Combine like terms: -8a + 8a = 0 2 + -6a = 38 + 0 2 + -6a = 38 Add '-2' to each side of the equation. 2 + -2 + -6a = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = 38 + -2 -6a = 38 + -2 Combine like terms: 38 + -2 = 36 -6a = 36 Divide each side by '-6'. a = -6 Simplifying a = -6
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