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Simplifying 2(-3 + -1p) = -4 + 4(p + 4) (-3 * 2 + -1p * 2) = -4 + 4(p + 4) (-6 + -2p) = -4 + 4(p + 4) Reorder the terms: -6 + -2p = -4 + 4(4 + p) -6 + -2p = -4 + (4 * 4 + p * 4) -6 + -2p = -4 + (16 + 4p) Combine like terms: -4 + 16 = 12 -6 + -2p = 12 + 4p Solving -6 + -2p = 12 + 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. -6 + -2p + -4p = 12 + 4p + -4p Combine like terms: -2p + -4p = -6p -6 + -6p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + -6p = 12 + 0 -6 + -6p = 12 Add '6' to each side of the equation. -6 + 6 + -6p = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6p = 12 + 6 -6p = 12 + 6 Combine like terms: 12 + 6 = 18 -6p = 18 Divide each side by '-6'. p = -3 Simplifying p = -3
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