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Simplifying 5(2a + 1) + -2(a + -4) = 2 Reorder the terms: 5(1 + 2a) + -2(a + -4) = 2 (1 * 5 + 2a * 5) + -2(a + -4) = 2 (5 + 10a) + -2(a + -4) = 2 Reorder the terms: 5 + 10a + -2(-4 + a) = 2 5 + 10a + (-4 * -2 + a * -2) = 2 5 + 10a + (8 + -2a) = 2 Reorder the terms: 5 + 8 + 10a + -2a = 2 Combine like terms: 5 + 8 = 13 13 + 10a + -2a = 2 Combine like terms: 10a + -2a = 8a 13 + 8a = 2 Solving 13 + 8a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8a = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 8a = 2 + -13 8a = 2 + -13 Combine like terms: 2 + -13 = -11 8a = -11 Divide each side by '8'. a = -1.375 Simplifying a = -1.375
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