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Simplifying 4(5p + 1) = 2p + 40 Reorder the terms: 4(1 + 5p) = 2p + 40 (1 * 4 + 5p * 4) = 2p + 40 (4 + 20p) = 2p + 40 Reorder the terms: 4 + 20p = 40 + 2p Solving 4 + 20p = 40 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 4 + 20p + -2p = 40 + 2p + -2p Combine like terms: 20p + -2p = 18p 4 + 18p = 40 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 18p = 40 + 0 4 + 18p = 40 Add '-4' to each side of the equation. 4 + -4 + 18p = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 18p = 40 + -4 18p = 40 + -4 Combine like terms: 40 + -4 = 36 18p = 36 Divide each side by '18'. p = 2 Simplifying p = 2
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