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Simplifying 14 + -2(3p + -1) = 6(4 + p) Reorder the terms: 14 + -2(-1 + 3p) = 6(4 + p) 14 + (-1 * -2 + 3p * -2) = 6(4 + p) 14 + (2 + -6p) = 6(4 + p) Combine like terms: 14 + 2 = 16 16 + -6p = 6(4 + p) 16 + -6p = (4 * 6 + p * 6) 16 + -6p = (24 + 6p) Solving 16 + -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. 16 + -6p + -6p = 24 + 6p + -6p Combine like terms: -6p + -6p = -12p 16 + -12p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 16 + -12p = 24 + 0 16 + -12p = 24 Add '-16' to each side of the equation. 16 + -16 + -12p = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -12p = 24 + -16 -12p = 24 + -16 Combine like terms: 24 + -16 = 8 -12p = 8 Divide each side by '-12'. p = -0.6666666667 Simplifying p = -0.6666666667
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