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Simplifying 8p + 16 = 4(3p + -1) Reorder the terms: 16 + 8p = 4(3p + -1) Reorder the terms: 16 + 8p = 4(-1 + 3p) 16 + 8p = (-1 * 4 + 3p * 4) 16 + 8p = (-4 + 12p) Solving 16 + 8p = -4 + 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. 16 + 8p + -12p = -4 + 12p + -12p Combine like terms: 8p + -12p = -4p 16 + -4p = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 16 + -4p = -4 + 0 16 + -4p = -4 Add '-16' to each side of the equation. 16 + -16 + -4p = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -4p = -4 + -16 -4p = -4 + -16 Combine like terms: -4 + -16 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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