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Simplifying 101 = 8 + 3(1 + -6p) 101 = 8 + (1 * 3 + -6p * 3) 101 = 8 + (3 + -18p) Combine like terms: 8 + 3 = 11 101 = 11 + -18p Solving 101 = 11 + -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 = 11 + -18p + 18p Combine like terms: -18p + 18p = 0 101 + 18p = 11 + 0 101 + 18p = 11 Add '-101' to each side of the equation. 101 + -101 + 18p = 11 + -101 Combine like terms: 101 + -101 = 0 0 + 18p = 11 + -101 18p = 11 + -101 Combine like terms: 11 + -101 = -90 18p = -90 Divide each side by '18'. p = -5 Simplifying p = -5
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