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Simplifying -4 + -1p = 8p + -5(6 + 7p) -4 + -1p = 8p + (6 * -5 + 7p * -5) -4 + -1p = 8p + (-30 + -35p) Reorder the terms: -4 + -1p = -30 + 8p + -35p Combine like terms: 8p + -35p = -27p -4 + -1p = -30 + -27p Solving -4 + -1p = -30 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -4 + -1p + 27p = -30 + -27p + 27p Combine like terms: -1p + 27p = 26p -4 + 26p = -30 + -27p + 27p Combine like terms: -27p + 27p = 0 -4 + 26p = -30 + 0 -4 + 26p = -30 Add '4' to each side of the equation. -4 + 4 + 26p = -30 + 4 Combine like terms: -4 + 4 = 0 0 + 26p = -30 + 4 26p = -30 + 4 Combine like terms: -30 + 4 = -26 26p = -26 Divide each side by '26'. p = -1 Simplifying p = -1
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