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Simplifying 6(p + 1) = 2p + 10 Reorder the terms: 6(1 + p) = 2p + 10 (1 * 6 + p * 6) = 2p + 10 (6 + 6p) = 2p + 10 Reorder the terms: 6 + 6p = 10 + 2p Solving 6 + 6p = 10 + 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. 6 + 6p + -2p = 10 + 2p + -2p Combine like terms: 6p + -2p = 4p 6 + 4p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + 4p = 10 + 0 6 + 4p = 10 Add '-6' to each side of the equation. 6 + -6 + 4p = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 4p = 10 + -6 4p = 10 + -6 Combine like terms: 10 + -6 = 4 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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