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Simplifying -2p + -2(2 + -6p) = 6(p + -5) + -22 -2p + (2 * -2 + -6p * -2) = 6(p + -5) + -22 -2p + (-4 + 12p) = 6(p + -5) + -22 Reorder the terms: -4 + -2p + 12p = 6(p + -5) + -22 Combine like terms: -2p + 12p = 10p -4 + 10p = 6(p + -5) + -22 Reorder the terms: -4 + 10p = 6(-5 + p) + -22 -4 + 10p = (-5 * 6 + p * 6) + -22 -4 + 10p = (-30 + 6p) + -22 Reorder the terms: -4 + 10p = -30 + -22 + 6p Combine like terms: -30 + -22 = -52 -4 + 10p = -52 + 6p Solving -4 + 10p = -52 + 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. -4 + 10p + -6p = -52 + 6p + -6p Combine like terms: 10p + -6p = 4p -4 + 4p = -52 + 6p + -6p Combine like terms: 6p + -6p = 0 -4 + 4p = -52 + 0 -4 + 4p = -52 Add '4' to each side of the equation. -4 + 4 + 4p = -52 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -52 + 4 4p = -52 + 4 Combine like terms: -52 + 4 = -48 4p = -48 Divide each side by '4'. p = -12 Simplifying p = -12
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