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Simplifying 6p = 1 + 3(4p + -5) Reorder the terms: 6p = 1 + 3(-5 + 4p) 6p = 1 + (-5 * 3 + 4p * 3) 6p = 1 + (-15 + 12p) Combine like terms: 1 + -15 = -14 6p = -14 + 12p Solving 6p = -14 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 6p + -12p = -14 + 12p + -12p Combine like terms: 6p + -12p = -6p -6p = -14 + 12p + -12p Combine like terms: 12p + -12p = 0 -6p = -14 + 0 -6p = -14 Divide each side by '-6'. p = 2.333333333 Simplifying p = 2.333333333
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