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Simplifying 4(2a + 1) = 2(a + -13) Reorder the terms: 4(1 + 2a) = 2(a + -13) (1 * 4 + 2a * 4) = 2(a + -13) (4 + 8a) = 2(a + -13) Reorder the terms: 4 + 8a = 2(-13 + a) 4 + 8a = (-13 * 2 + a * 2) 4 + 8a = (-26 + 2a) Solving 4 + 8a = -26 + 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. 4 + 8a + -2a = -26 + 2a + -2a Combine like terms: 8a + -2a = 6a 4 + 6a = -26 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 6a = -26 + 0 4 + 6a = -26 Add '-4' to each side of the equation. 4 + -4 + 6a = -26 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = -26 + -4 6a = -26 + -4 Combine like terms: -26 + -4 = -30 6a = -30 Divide each side by '6'. a = -5 Simplifying a = -5
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