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Simplifying 8 = -4(3 + -10p) + 7p 8 = (3 * -4 + -10p * -4) + 7p 8 = (-12 + 40p) + 7p Combine like terms: 40p + 7p = 47p 8 = -12 + 47p Solving 8 = -12 + 47p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-47p' to each side of the equation. 8 + -47p = -12 + 47p + -47p Combine like terms: 47p + -47p = 0 8 + -47p = -12 + 0 8 + -47p = -12 Add '-8' to each side of the equation. 8 + -8 + -47p = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -47p = -12 + -8 -47p = -12 + -8 Combine like terms: -12 + -8 = -20 -47p = -20 Divide each side by '-47'. p = 0.4255319149 Simplifying p = 0.4255319149
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