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Simplifying 3p + 19 = 2(3p + -1) Reorder the terms: 19 + 3p = 2(3p + -1) Reorder the terms: 19 + 3p = 2(-1 + 3p) 19 + 3p = (-1 * 2 + 3p * 2) 19 + 3p = (-2 + 6p) Solving 19 + 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. 19 + 3p + -6p = -2 + 6p + -6p Combine like terms: 3p + -6p = -3p 19 + -3p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 19 + -3p = -2 + 0 19 + -3p = -2 Add '-19' to each side of the equation. 19 + -19 + -3p = -2 + -19 Combine like terms: 19 + -19 = 0 0 + -3p = -2 + -19 -3p = -2 + -19 Combine like terms: -2 + -19 = -21 -3p = -21 Divide each side by '-3'. p = 7 Simplifying p = 7
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