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Simplifying 2 = 4 + -3(4p + 1) Reorder the terms: 2 = 4 + -3(1 + 4p) 2 = 4 + (1 * -3 + 4p * -3) 2 = 4 + (-3 + -12p) Combine like terms: 4 + -3 = 1 2 = 1 + -12p Solving 2 = 1 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 2 + 12p = 1 + -12p + 12p Combine like terms: -12p + 12p = 0 2 + 12p = 1 + 0 2 + 12p = 1 Add '-2' to each side of the equation. 2 + -2 + 12p = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = 1 + -2 12p = 1 + -2 Combine like terms: 1 + -2 = -1 12p = -1 Divide each side by '12'. p = -0.08333333333 Simplifying p = -0.08333333333
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