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Simplifying 5 + -1(3p + -1) = p + 6 Reorder the terms: 5 + -1(-1 + 3p) = p + 6 5 + (-1 * -1 + 3p * -1) = p + 6 5 + (1 + -3p) = p + 6 Combine like terms: 5 + 1 = 6 6 + -3p = p + 6 Reorder the terms: 6 + -3p = 6 + p Add '-6' to each side of the equation. 6 + -6 + -3p = 6 + -6 + p Combine like terms: 6 + -6 = 0 0 + -3p = 6 + -6 + p -3p = 6 + -6 + p Combine like terms: 6 + -6 = 0 -3p = 0 + p -3p = p Solving -3p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -3p + -1p = p + -1p Combine like terms: -3p + -1p = -4p -4p = p + -1p Combine like terms: p + -1p = 0 -4p = 0 Divide each side by '-4'. p = 0 Simplifying p = 0
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