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Simplifying p + -1(p + 20) = 8(p + -4) + 4p Reorder the terms: p + -1(20 + p) = 8(p + -4) + 4p p + (20 * -1 + p * -1) = 8(p + -4) + 4p p + (-20 + -1p) = 8(p + -4) + 4p Reorder the terms: -20 + p + -1p = 8(p + -4) + 4p Combine like terms: p + -1p = 0 -20 + 0 = 8(p + -4) + 4p -20 = 8(p + -4) + 4p Reorder the terms: -20 = 8(-4 + p) + 4p -20 = (-4 * 8 + p * 8) + 4p -20 = (-32 + 8p) + 4p Combine like terms: 8p + 4p = 12p -20 = -32 + 12p Solving -20 = -32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -20 + -12p = -32 + 12p + -12p Combine like terms: 12p + -12p = 0 -20 + -12p = -32 + 0 -20 + -12p = -32 Add '20' to each side of the equation. -20 + 20 + -12p = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -12p = -32 + 20 -12p = -32 + 20 Combine like terms: -32 + 20 = -12 -12p = -12 Divide each side by '-12'. p = 1 Simplifying p = 1
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