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Simplifying 38 + -7p = 3(6 + -4p) 38 + -7p = (6 * 3 + -4p * 3) 38 + -7p = (18 + -12p) Solving 38 + -7p = 18 + -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. 38 + -7p + 12p = 18 + -12p + 12p Combine like terms: -7p + 12p = 5p 38 + 5p = 18 + -12p + 12p Combine like terms: -12p + 12p = 0 38 + 5p = 18 + 0 38 + 5p = 18 Add '-38' to each side of the equation. 38 + -38 + 5p = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 5p = 18 + -38 5p = 18 + -38 Combine like terms: 18 + -38 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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