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Simplifying -32 + -6p = 4(-1p + -5) Reorder the terms: -32 + -6p = 4(-5 + -1p) -32 + -6p = (-5 * 4 + -1p * 4) -32 + -6p = (-20 + -4p) Solving -32 + -6p = -20 + -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. -32 + -6p + 4p = -20 + -4p + 4p Combine like terms: -6p + 4p = -2p -32 + -2p = -20 + -4p + 4p Combine like terms: -4p + 4p = 0 -32 + -2p = -20 + 0 -32 + -2p = -20 Add '32' to each side of the equation. -32 + 32 + -2p = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -2p = -20 + 32 -2p = -20 + 32 Combine like terms: -20 + 32 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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