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Simplifying 8(6 + -2a) + -6 = -14 + -2a (6 * 8 + -2a * 8) + -6 = -14 + -2a (48 + -16a) + -6 = -14 + -2a Reorder the terms: 48 + -6 + -16a = -14 + -2a Combine like terms: 48 + -6 = 42 42 + -16a = -14 + -2a Solving 42 + -16a = -14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 42 + -16a + 2a = -14 + -2a + 2a Combine like terms: -16a + 2a = -14a 42 + -14a = -14 + -2a + 2a Combine like terms: -2a + 2a = 0 42 + -14a = -14 + 0 42 + -14a = -14 Add '-42' to each side of the equation. 42 + -42 + -14a = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -14a = -14 + -42 -14a = -14 + -42 Combine like terms: -14 + -42 = -56 -14a = -56 Divide each side by '-14'. a = 4 Simplifying a = 4
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