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Simplifying 15 + -4p = 7(7 + -3p) 15 + -4p = (7 * 7 + -3p * 7) 15 + -4p = (49 + -21p) Solving 15 + -4p = 49 + -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. 15 + -4p + 21p = 49 + -21p + 21p Combine like terms: -4p + 21p = 17p 15 + 17p = 49 + -21p + 21p Combine like terms: -21p + 21p = 0 15 + 17p = 49 + 0 15 + 17p = 49 Add '-15' to each side of the equation. 15 + -15 + 17p = 49 + -15 Combine like terms: 15 + -15 = 0 0 + 17p = 49 + -15 17p = 49 + -15 Combine like terms: 49 + -15 = 34 17p = 34 Divide each side by '17'. p = 2 Simplifying p = 2
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