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Simplifying 2p + -2(6 + -3p) = 4(p + -3) + -24 2p + (6 * -2 + -3p * -2) = 4(p + -3) + -24 2p + (-12 + 6p) = 4(p + -3) + -24 Reorder the terms: -12 + 2p + 6p = 4(p + -3) + -24 Combine like terms: 2p + 6p = 8p -12 + 8p = 4(p + -3) + -24 Reorder the terms: -12 + 8p = 4(-3 + p) + -24 -12 + 8p = (-3 * 4 + p * 4) + -24 -12 + 8p = (-12 + 4p) + -24 Reorder the terms: -12 + 8p = -12 + -24 + 4p Combine like terms: -12 + -24 = -36 -12 + 8p = -36 + 4p Solving -12 + 8p = -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. -12 + 8p + -4p = -36 + 4p + -4p Combine like terms: 8p + -4p = 4p -12 + 4p = -36 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 4p = -36 + 0 -12 + 4p = -36 Add '12' to each side of the equation. -12 + 12 + 4p = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -36 + 12 4p = -36 + 12 Combine like terms: -36 + 12 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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