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Simplifying -5(2x + -1a) = 2(x + -8) + -11 Reorder the terms: -5(-1a + 2x) = 2(x + -8) + -11 (-1a * -5 + 2x * -5) = 2(x + -8) + -11 (5a + -10x) = 2(x + -8) + -11 Reorder the terms: 5a + -10x = 2(-8 + x) + -11 5a + -10x = (-8 * 2 + x * 2) + -11 5a + -10x = (-16 + 2x) + -11 Reorder the terms: 5a + -10x = -16 + -11 + 2x Combine like terms: -16 + -11 = -27 5a + -10x = -27 + 2x Solving 5a + -10x = -27 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10x' to each side of the equation. 5a + -10x + 10x = -27 + 2x + 10x Combine like terms: -10x + 10x = 0 5a + 0 = -27 + 2x + 10x 5a = -27 + 2x + 10x Combine like terms: 2x + 10x = 12x 5a = -27 + 12x Divide each side by '5'. a = -5.4 + 2.4x Simplifying a = -5.4 + 2.4x
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