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Simplifying -5(4p + 2) = 16 + 6p Reorder the terms: -5(2 + 4p) = 16 + 6p (2 * -5 + 4p * -5) = 16 + 6p (-10 + -20p) = 16 + 6p Solving -10 + -20p = 16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -10 + -20p + -6p = 16 + 6p + -6p Combine like terms: -20p + -6p = -26p -10 + -26p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + -26p = 16 + 0 -10 + -26p = 16 Add '10' to each side of the equation. -10 + 10 + -26p = 16 + 10 Combine like terms: -10 + 10 = 0 0 + -26p = 16 + 10 -26p = 16 + 10 Combine like terms: 16 + 10 = 26 -26p = 26 Divide each side by '-26'. p = -1 Simplifying p = -1
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