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Simplifying 5x + -1(8 + -1a) = 4x + -10 5x + (8 * -1 + -1a * -1) = 4x + -10 5x + (-8 + 1a) = 4x + -10 Reorder the terms: -8 + 1a + 5x = 4x + -10 Reorder the terms: -8 + 1a + 5x = -10 + 4x Solving -8 + 1a + 5x = -10 + 4x 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 + 1a + 8 + 5x = -10 + 8 + 4x Reorder the terms: -8 + 8 + 1a + 5x = -10 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 1a + 5x = -10 + 8 + 4x 1a + 5x = -10 + 8 + 4x Combine like terms: -10 + 8 = -2 1a + 5x = -2 + 4x Add '-5x' to each side of the equation. 1a + 5x + -5x = -2 + 4x + -5x Combine like terms: 5x + -5x = 0 1a + 0 = -2 + 4x + -5x 1a = -2 + 4x + -5x Combine like terms: 4x + -5x = -1x 1a = -2 + -1x Divide each side by '1'. a = -2 + -1x Simplifying a = -2 + -1x
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