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Simplifying -137 = -5(4p + -2) + -1p Reorder the terms: -137 = -5(-2 + 4p) + -1p -137 = (-2 * -5 + 4p * -5) + -1p -137 = (10 + -20p) + -1p Combine like terms: -20p + -1p = -21p -137 = 10 + -21p Solving -137 = 10 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. -137 + 21p = 10 + -21p + 21p Combine like terms: -21p + 21p = 0 -137 + 21p = 10 + 0 -137 + 21p = 10 Add '137' to each side of the equation. -137 + 137 + 21p = 10 + 137 Combine like terms: -137 + 137 = 0 0 + 21p = 10 + 137 21p = 10 + 137 Combine like terms: 10 + 137 = 147 21p = 147 Divide each side by '21'. p = 7 Simplifying p = 7
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