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Simplifying 6(1 + 2p) = 30p (1 * 6 + 2p * 6) = 30p (6 + 12p) = 30p Solving 6 + 12p = 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 6 + 12p + -30p = 30p + -30p Combine like terms: 12p + -30p = -18p 6 + -18p = 30p + -30p Combine like terms: 30p + -30p = 0 6 + -18p = 0 Add '-6' to each side of the equation. 6 + -6 + -18p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -18p = 0 + -6 -18p = 0 + -6 Combine like terms: 0 + -6 = -6 -18p = -6 Divide each side by '-18'. p = 0.3333333333 Simplifying p = 0.3333333333
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