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Simplifying 38 + -4p = -6p + 3(7 + -5p) 38 + -4p = -6p + (7 * 3 + -5p * 3) 38 + -4p = -6p + (21 + -15p) Reorder the terms: 38 + -4p = 21 + -6p + -15p Combine like terms: -6p + -15p = -21p 38 + -4p = 21 + -21p Solving 38 + -4p = 21 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 38 + -4p + 21p = 21 + -21p + 21p Combine like terms: -4p + 21p = 17p 38 + 17p = 21 + -21p + 21p Combine like terms: -21p + 21p = 0 38 + 17p = 21 + 0 38 + 17p = 21 Add '-38' to each side of the equation. 38 + -38 + 17p = 21 + -38 Combine like terms: 38 + -38 = 0 0 + 17p = 21 + -38 17p = 21 + -38 Combine like terms: 21 + -38 = -17 17p = -17 Divide each side by '17'. p = -1 Simplifying p = -1
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