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Simplifying 14 + -1(6p + 1) = 24 + 6p Reorder the terms: 14 + -1(1 + 6p) = 24 + 6p 14 + (1 * -1 + 6p * -1) = 24 + 6p 14 + (-1 + -6p) = 24 + 6p Combine like terms: 14 + -1 = 13 13 + -6p = 24 + 6p Solving 13 + -6p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 13 + -6p + -6p = 24 + 6p + -6p Combine like terms: -6p + -6p = -12p 13 + -12p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 13 + -12p = 24 + 0 13 + -12p = 24 Add '-13' to each side of the equation. 13 + -13 + -12p = 24 + -13 Combine like terms: 13 + -13 = 0 0 + -12p = 24 + -13 -12p = 24 + -13 Combine like terms: 24 + -13 = 11 -12p = 11 Divide each side by '-12'. p = -0.9166666667 Simplifying p = -0.9166666667
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