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Simplifying -13 = 5(1 + 4p) + -2p -13 = (1 * 5 + 4p * 5) + -2p -13 = (5 + 20p) + -2p Combine like terms: 20p + -2p = 18p -13 = 5 + 18p Solving -13 = 5 + 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. -13 + -18p = 5 + 18p + -18p Combine like terms: 18p + -18p = 0 -13 + -18p = 5 + 0 -13 + -18p = 5 Add '13' to each side of the equation. -13 + 13 + -18p = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -18p = 5 + 13 -18p = 5 + 13 Combine like terms: 5 + 13 = 18 -18p = 18 Divide each side by '-18'. p = -1 Simplifying p = -1
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