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Simplifying -5(1 + -7p) + -6 = -38 + 8p (1 * -5 + -7p * -5) + -6 = -38 + 8p (-5 + 35p) + -6 = -38 + 8p Reorder the terms: -5 + -6 + 35p = -38 + 8p Combine like terms: -5 + -6 = -11 -11 + 35p = -38 + 8p Solving -11 + 35p = -38 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -11 + 35p + -8p = -38 + 8p + -8p Combine like terms: 35p + -8p = 27p -11 + 27p = -38 + 8p + -8p Combine like terms: 8p + -8p = 0 -11 + 27p = -38 + 0 -11 + 27p = -38 Add '11' to each side of the equation. -11 + 11 + 27p = -38 + 11 Combine like terms: -11 + 11 = 0 0 + 27p = -38 + 11 27p = -38 + 11 Combine like terms: -38 + 11 = -27 27p = -27 Divide each side by '27'. p = -1 Simplifying p = -1
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