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Simplifying -4(1 + -2p) + 5(8p + -6) = 14 (1 * -4 + -2p * -4) + 5(8p + -6) = 14 (-4 + 8p) + 5(8p + -6) = 14 Reorder the terms: -4 + 8p + 5(-6 + 8p) = 14 -4 + 8p + (-6 * 5 + 8p * 5) = 14 -4 + 8p + (-30 + 40p) = 14 Reorder the terms: -4 + -30 + 8p + 40p = 14 Combine like terms: -4 + -30 = -34 -34 + 8p + 40p = 14 Combine like terms: 8p + 40p = 48p -34 + 48p = 14 Solving -34 + 48p = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 48p = 14 + 34 Combine like terms: -34 + 34 = 0 0 + 48p = 14 + 34 48p = 14 + 34 Combine like terms: 14 + 34 = 48 48p = 48 Divide each side by '48'. p = 1 Simplifying p = 1
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