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Simplifying -5p + 4p = 4(2p + -3) + -6(2 + 2p) Combine like terms: -5p + 4p = -1p -1p = 4(2p + -3) + -6(2 + 2p) Reorder the terms: -1p = 4(-3 + 2p) + -6(2 + 2p) -1p = (-3 * 4 + 2p * 4) + -6(2 + 2p) -1p = (-12 + 8p) + -6(2 + 2p) -1p = -12 + 8p + (2 * -6 + 2p * -6) -1p = -12 + 8p + (-12 + -12p) Reorder the terms: -1p = -12 + -12 + 8p + -12p Combine like terms: -12 + -12 = -24 -1p = -24 + 8p + -12p Combine like terms: 8p + -12p = -4p -1p = -24 + -4p Solving -1p = -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. -1p + 4p = -24 + -4p + 4p Combine like terms: -1p + 4p = 3p 3p = -24 + -4p + 4p Combine like terms: -4p + 4p = 0 3p = -24 + 0 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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