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Simplifying 2p + -4(4 + -2p) = 6(p + -2) + -16 2p + (4 * -4 + -2p * -4) = 6(p + -2) + -16 2p + (-16 + 8p) = 6(p + -2) + -16 Reorder the terms: -16 + 2p + 8p = 6(p + -2) + -16 Combine like terms: 2p + 8p = 10p -16 + 10p = 6(p + -2) + -16 Reorder the terms: -16 + 10p = 6(-2 + p) + -16 -16 + 10p = (-2 * 6 + p * 6) + -16 -16 + 10p = (-12 + 6p) + -16 Reorder the terms: -16 + 10p = -12 + -16 + 6p Combine like terms: -12 + -16 = -28 -16 + 10p = -28 + 6p Solving -16 + 10p = -28 + 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. -16 + 10p + -6p = -28 + 6p + -6p Combine like terms: 10p + -6p = 4p -16 + 4p = -28 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 4p = -28 + 0 -16 + 4p = -28 Add '16' to each side of the equation. -16 + 16 + 4p = -28 + 16 Combine like terms: -16 + 16 = 0 0 + 4p = -28 + 16 4p = -28 + 16 Combine like terms: -28 + 16 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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