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Simplifying 3 + (4 + 4p) = 6(4 + -1p) Remove parenthesis around (4 + 4p) 3 + 4 + 4p = 6(4 + -1p) Combine like terms: 3 + 4 = 7 7 + 4p = 6(4 + -1p) 7 + 4p = (4 * 6 + -1p * 6) 7 + 4p = (24 + -6p) Solving 7 + 4p = 24 + -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. 7 + 4p + 6p = 24 + -6p + 6p Combine like terms: 4p + 6p = 10p 7 + 10p = 24 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 10p = 24 + 0 7 + 10p = 24 Add '-7' to each side of the equation. 7 + -7 + 10p = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 10p = 24 + -7 10p = 24 + -7 Combine like terms: 24 + -7 = 17 10p = 17 Divide each side by '10'. p = 1.7 Simplifying p = 1.7
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