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