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Simplifying -4(3p + 2) + 2p = 16 + -6p Reorder the terms: -4(2 + 3p) + 2p = 16 + -6p (2 * -4 + 3p * -4) + 2p = 16 + -6p (-8 + -12p) + 2p = 16 + -6p Combine like terms: -12p + 2p = -10p -8 + -10p = 16 + -6p Solving -8 + -10p = 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. -8 + -10p + 6p = 16 + -6p + 6p Combine like terms: -10p + 6p = -4p -8 + -4p = 16 + -6p + 6p Combine like terms: -6p + 6p = 0 -8 + -4p = 16 + 0 -8 + -4p = 16 Add '8' to each side of the equation. -8 + 8 + -4p = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -4p = 16 + 8 -4p = 16 + 8 Combine like terms: 16 + 8 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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