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Simplifying -3[5 + -1(2 + 3p)] = 6p + 1 -3[5 + (2 * -1 + 3p * -1)] = 6p + 1 -3[5 + (-2 + -3p)] = 6p + 1 Combine like terms: 5 + -2 = 3 -3[3 + -3p] = 6p + 1 [3 * -3 + -3p * -3] = 6p + 1 [-9 + 9p] = 6p + 1 Reorder the terms: -9 + 9p = 1 + 6p Solving -9 + 9p = 1 + 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. -9 + 9p + -6p = 1 + 6p + -6p Combine like terms: 9p + -6p = 3p -9 + 3p = 1 + 6p + -6p Combine like terms: 6p + -6p = 0 -9 + 3p = 1 + 0 -9 + 3p = 1 Add '9' to each side of the equation. -9 + 9 + 3p = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 3p = 1 + 9 3p = 1 + 9 Combine like terms: 1 + 9 = 10 3p = 10 Divide each side by '3'. p = 3.333333333 Simplifying p = 3.333333333
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