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Simplifying -12p + -3(4 + -6p) = 4(p + -2) + -16 -12p + (4 * -3 + -6p * -3) = 4(p + -2) + -16 -12p + (-12 + 18p) = 4(p + -2) + -16 Reorder the terms: -12 + -12p + 18p = 4(p + -2) + -16 Combine like terms: -12p + 18p = 6p -12 + 6p = 4(p + -2) + -16 Reorder the terms: -12 + 6p = 4(-2 + p) + -16 -12 + 6p = (-2 * 4 + p * 4) + -16 -12 + 6p = (-8 + 4p) + -16 Reorder the terms: -12 + 6p = -8 + -16 + 4p Combine like terms: -8 + -16 = -24 -12 + 6p = -24 + 4p Solving -12 + 6p = -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 + 6p + -4p = -24 + 4p + -4p Combine like terms: 6p + -4p = 2p -12 + 2p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 2p = -24 + 0 -12 + 2p = -24 Add '12' to each side of the equation. -12 + 12 + 2p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -24 + 12 2p = -24 + 12 Combine like terms: -24 + 12 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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