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Simplifying 6(7 + 2p) = 6p (7 * 6 + 2p * 6) = 6p (42 + 12p) = 6p Solving 42 + 12p = 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 42 + 12p + -6p = 6p + -6p Combine like terms: 12p + -6p = 6p 42 + 6p = 6p + -6p Combine like terms: 6p + -6p = 0 42 + 6p = 0 Add '-42' to each side of the equation. 42 + -42 + 6p = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6p = 0 + -42 6p = 0 + -42 Combine like terms: 0 + -42 = -42 6p = -42 Divide each side by '6'. p = -7 Simplifying p = -7
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