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Simplifying 6(8p + -7) + 5 = 39 + 2x Reorder the terms: 6(-7 + 8p) + 5 = 39 + 2x (-7 * 6 + 8p * 6) + 5 = 39 + 2x (-42 + 48p) + 5 = 39 + 2x Reorder the terms: -42 + 5 + 48p = 39 + 2x Combine like terms: -42 + 5 = -37 -37 + 48p = 39 + 2x Solving -37 + 48p = 39 + 2x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 48p = 39 + 37 + 2x Combine like terms: -37 + 37 = 0 0 + 48p = 39 + 37 + 2x 48p = 39 + 37 + 2x Combine like terms: 39 + 37 = 76 48p = 76 + 2x Divide each side by '48'. p = 1.583333333 + 0.04166666667x Simplifying p = 1.583333333 + 0.04166666667x
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