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Simplifying 5(p + -3) = 1 + -3p Reorder the terms: 5(-3 + p) = 1 + -3p (-3 * 5 + p * 5) = 1 + -3p (-15 + 5p) = 1 + -3p Solving -15 + 5p = 1 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -15 + 5p + 3p = 1 + -3p + 3p Combine like terms: 5p + 3p = 8p -15 + 8p = 1 + -3p + 3p Combine like terms: -3p + 3p = 0 -15 + 8p = 1 + 0 -15 + 8p = 1 Add '15' to each side of the equation. -15 + 15 + 8p = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8p = 1 + 15 8p = 1 + 15 Combine like terms: 1 + 15 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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