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Simplifying 31 + 4p = -7(1 + -6p) 31 + 4p = (1 * -7 + -6p * -7) 31 + 4p = (-7 + 42p) Solving 31 + 4p = -7 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. 31 + 4p + -42p = -7 + 42p + -42p Combine like terms: 4p + -42p = -38p 31 + -38p = -7 + 42p + -42p Combine like terms: 42p + -42p = 0 31 + -38p = -7 + 0 31 + -38p = -7 Add '-31' to each side of the equation. 31 + -31 + -38p = -7 + -31 Combine like terms: 31 + -31 = 0 0 + -38p = -7 + -31 -38p = -7 + -31 Combine like terms: -7 + -31 = -38 -38p = -38 Divide each side by '-38'. p = 1 Simplifying p = 1
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