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