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Simplifying -6p + -2(2 + -6p) = 4(p + -5) + -16 -6p + (2 * -2 + -6p * -2) = 4(p + -5) + -16 -6p + (-4 + 12p) = 4(p + -5) + -16 Reorder the terms: -4 + -6p + 12p = 4(p + -5) + -16 Combine like terms: -6p + 12p = 6p -4 + 6p = 4(p + -5) + -16 Reorder the terms: -4 + 6p = 4(-5 + p) + -16 -4 + 6p = (-5 * 4 + p * 4) + -16 -4 + 6p = (-20 + 4p) + -16 Reorder the terms: -4 + 6p = -20 + -16 + 4p Combine like terms: -20 + -16 = -36 -4 + 6p = -36 + 4p Solving -4 + 6p = -36 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -4 + 6p + -4p = -36 + 4p + -4p Combine like terms: 6p + -4p = 2p -4 + 2p = -36 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + 2p = -36 + 0 -4 + 2p = -36 Add '4' to each side of the equation. -4 + 4 + 2p = -36 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -36 + 4 2p = -36 + 4 Combine like terms: -36 + 4 = -32 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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