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Simplifying 14 + -2(-3p + 1) = -3(1 + -3p) Reorder the terms: 14 + -2(1 + -3p) = -3(1 + -3p) 14 + (1 * -2 + -3p * -2) = -3(1 + -3p) 14 + (-2 + 6p) = -3(1 + -3p) Combine like terms: 14 + -2 = 12 12 + 6p = -3(1 + -3p) 12 + 6p = (1 * -3 + -3p * -3) 12 + 6p = (-3 + 9p) Solving 12 + 6p = -3 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 12 + 6p + -9p = -3 + 9p + -9p Combine like terms: 6p + -9p = -3p 12 + -3p = -3 + 9p + -9p Combine like terms: 9p + -9p = 0 12 + -3p = -3 + 0 12 + -3p = -3 Add '-12' to each side of the equation. 12 + -12 + -3p = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = -3 + -12 -3p = -3 + -12 Combine like terms: -3 + -12 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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