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Simplifying -3(-6p + -2) + -4 = 38 + 6p Reorder the terms: -3(-2 + -6p) + -4 = 38 + 6p (-2 * -3 + -6p * -3) + -4 = 38 + 6p (6 + 18p) + -4 = 38 + 6p Reorder the terms: 6 + -4 + 18p = 38 + 6p Combine like terms: 6 + -4 = 2 2 + 18p = 38 + 6p Solving 2 + 18p = 38 + 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. 2 + 18p + -6p = 38 + 6p + -6p Combine like terms: 18p + -6p = 12p 2 + 12p = 38 + 6p + -6p Combine like terms: 6p + -6p = 0 2 + 12p = 38 + 0 2 + 12p = 38 Add '-2' to each side of the equation. 2 + -2 + 12p = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = 38 + -2 12p = 38 + -2 Combine like terms: 38 + -2 = 36 12p = 36 Divide each side by '12'. p = 3 Simplifying p = 3
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