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Simplifying 3x + -1(2x + -8) + a = 2(x + -5) Reorder the terms: 3x + -1(-8 + 2x) + a = 2(x + -5) 3x + (-8 * -1 + 2x * -1) + a = 2(x + -5) 3x + (8 + -2x) + a = 2(x + -5) Reorder the terms: 8 + a + 3x + -2x = 2(x + -5) Combine like terms: 3x + -2x = 1x 8 + a + 1x = 2(x + -5) Reorder the terms: 8 + a + 1x = 2(-5 + x) 8 + a + 1x = (-5 * 2 + x * 2) 8 + a + 1x = (-10 + 2x) Solving 8 + a + 1x = -10 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + a + -8 + 1x = -10 + -8 + 2x Reorder the terms: 8 + -8 + a + 1x = -10 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + a + 1x = -10 + -8 + 2x a + 1x = -10 + -8 + 2x Combine like terms: -10 + -8 = -18 a + 1x = -18 + 2x Add '-1x' to each side of the equation. a + 1x + -1x = -18 + 2x + -1x Combine like terms: 1x + -1x = 0 a + 0 = -18 + 2x + -1x a = -18 + 2x + -1x Combine like terms: 2x + -1x = 1x a = -18 + 1x Simplifying a = -18 + 1x
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