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Simplifying 5(p + -6) + 3p = -6 Reorder the terms: 5(-6 + p) + 3p = -6 (-6 * 5 + p * 5) + 3p = -6 (-30 + 5p) + 3p = -6 Combine like terms: 5p + 3p = 8p -30 + 8p = -6 Solving -30 + 8p = -6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 8p = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 8p = -6 + 30 8p = -6 + 30 Combine like terms: -6 + 30 = 24 8p = 24 Divide each side by '8'. p = 3 Simplifying p = 3
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