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Simplifying -8a + 2 = -2(a + 5) Reorder the terms: 2 + -8a = -2(a + 5) Reorder the terms: 2 + -8a = -2(5 + a) 2 + -8a = (5 * -2 + a * -2) 2 + -8a = (-10 + -2a) Solving 2 + -8a = -10 + -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 + -8a + 2a = -10 + -2a + 2a Combine like terms: -8a + 2a = -6a 2 + -6a = -10 + -2a + 2a Combine like terms: -2a + 2a = 0 2 + -6a = -10 + 0 2 + -6a = -10 Add '-2' to each side of the equation. 2 + -2 + -6a = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -6a = -10 + -2 -6a = -10 + -2 Combine like terms: -10 + -2 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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