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Simplifying 46 = 2a + -4(4a + -1) Reorder the terms: 46 = 2a + -4(-1 + 4a) 46 = 2a + (-1 * -4 + 4a * -4) 46 = 2a + (4 + -16a) Reorder the terms: 46 = 4 + 2a + -16a Combine like terms: 2a + -16a = -14a 46 = 4 + -14a Solving 46 = 4 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 46 + 14a = 4 + -14a + 14a Combine like terms: -14a + 14a = 0 46 + 14a = 4 + 0 46 + 14a = 4 Add '-46' to each side of the equation. 46 + -46 + 14a = 4 + -46 Combine like terms: 46 + -46 = 0 0 + 14a = 4 + -46 14a = 4 + -46 Combine like terms: 4 + -46 = -42 14a = -42 Divide each side by '14'. a = -3 Simplifying a = -3
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