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Simplifying p + -1(p + 12) = 4(p + -5) + 4p Reorder the terms: p + -1(12 + p) = 4(p + -5) + 4p p + (12 * -1 + p * -1) = 4(p + -5) + 4p p + (-12 + -1p) = 4(p + -5) + 4p Reorder the terms: -12 + p + -1p = 4(p + -5) + 4p Combine like terms: p + -1p = 0 -12 + 0 = 4(p + -5) + 4p -12 = 4(p + -5) + 4p Reorder the terms: -12 = 4(-5 + p) + 4p -12 = (-5 * 4 + p * 4) + 4p -12 = (-20 + 4p) + 4p Combine like terms: 4p + 4p = 8p -12 = -20 + 8p Solving -12 = -20 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -12 + -8p = -20 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -8p = -20 + 0 -12 + -8p = -20 Add '12' to each side of the equation. -12 + 12 + -8p = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -8p = -20 + 12 -8p = -20 + 12 Combine like terms: -20 + 12 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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