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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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