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Simplifying 3p + -2(6 + -2p) = 4(p + -2) + -16 3p + (6 * -2 + -2p * -2) = 4(p + -2) + -16 3p + (-12 + 4p) = 4(p + -2) + -16 Reorder the terms: -12 + 3p + 4p = 4(p + -2) + -16 Combine like terms: 3p + 4p = 7p -12 + 7p = 4(p + -2) + -16 Reorder the terms: -12 + 7p = 4(-2 + p) + -16 -12 + 7p = (-2 * 4 + p * 4) + -16 -12 + 7p = (-8 + 4p) + -16 Reorder the terms: -12 + 7p = -8 + -16 + 4p Combine like terms: -8 + -16 = -24 -12 + 7p = -24 + 4p Solving -12 + 7p = -24 + 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. -12 + 7p + -4p = -24 + 4p + -4p Combine like terms: 7p + -4p = 3p -12 + 3p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 3p = -24 + 0 -12 + 3p = -24 Add '12' to each side of the equation. -12 + 12 + 3p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -24 + 12 3p = -24 + 12 Combine like terms: -24 + 12 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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