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Simplifying -291 = 5(1 + 8p) + -3p -291 = (1 * 5 + 8p * 5) + -3p -291 = (5 + 40p) + -3p Combine like terms: 40p + -3p = 37p -291 = 5 + 37p Solving -291 = 5 + 37p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-37p' to each side of the equation. -291 + -37p = 5 + 37p + -37p Combine like terms: 37p + -37p = 0 -291 + -37p = 5 + 0 -291 + -37p = 5 Add '291' to each side of the equation. -291 + 291 + -37p = 5 + 291 Combine like terms: -291 + 291 = 0 0 + -37p = 5 + 291 -37p = 5 + 291 Combine like terms: 5 + 291 = 296 -37p = 296 Divide each side by '-37'. p = -8 Simplifying p = -8
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