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Simplifying -8a + -2(2a + -1) = -40 + 2a Reorder the terms: -8a + -2(-1 + 2a) = -40 + 2a -8a + (-1 * -2 + 2a * -2) = -40 + 2a -8a + (2 + -4a) = -40 + 2a Reorder the terms: 2 + -8a + -4a = -40 + 2a Combine like terms: -8a + -4a = -12a 2 + -12a = -40 + 2a Solving 2 + -12a = -40 + 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. 2 + -12a + -2a = -40 + 2a + -2a Combine like terms: -12a + -2a = -14a 2 + -14a = -40 + 2a + -2a Combine like terms: 2a + -2a = 0 2 + -14a = -40 + 0 2 + -14a = -40 Add '-2' to each side of the equation. 2 + -2 + -14a = -40 + -2 Combine like terms: 2 + -2 = 0 0 + -14a = -40 + -2 -14a = -40 + -2 Combine like terms: -40 + -2 = -42 -14a = -42 Divide each side by '-14'. a = 3 Simplifying a = 3
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