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Simplifying -101 = 1 + 3(2 + -6p) -101 = 1 + (2 * 3 + -6p * 3) -101 = 1 + (6 + -18p) Combine like terms: 1 + 6 = 7 -101 = 7 + -18p Solving -101 = 7 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. -101 + 18p = 7 + -18p + 18p Combine like terms: -18p + 18p = 0 -101 + 18p = 7 + 0 -101 + 18p = 7 Add '101' to each side of the equation. -101 + 101 + 18p = 7 + 101 Combine like terms: -101 + 101 = 0 0 + 18p = 7 + 101 18p = 7 + 101 Combine like terms: 7 + 101 = 108 18p = 108 Divide each side by '18'. p = 6 Simplifying p = 6
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