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Simplifying 3p + 22 = 2(3p + -1) Reorder the terms: 22 + 3p = 2(3p + -1) Reorder the terms: 22 + 3p = 2(-1 + 3p) 22 + 3p = (-1 * 2 + 3p * 2) 22 + 3p = (-2 + 6p) Solving 22 + 3p = -2 + 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. 22 + 3p + -6p = -2 + 6p + -6p Combine like terms: 3p + -6p = -3p 22 + -3p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 22 + -3p = -2 + 0 22 + -3p = -2 Add '-22' to each side of the equation. 22 + -22 + -3p = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -3p = -2 + -22 -3p = -2 + -22 Combine like terms: -2 + -22 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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