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Simplifying 6(7 + -2p) = 12p + 42 (7 * 6 + -2p * 6) = 12p + 42 (42 + -12p) = 12p + 42 Reorder the terms: 42 + -12p = 42 + 12p Add '-42' to each side of the equation. 42 + -42 + -12p = 42 + -42 + 12p Combine like terms: 42 + -42 = 0 0 + -12p = 42 + -42 + 12p -12p = 42 + -42 + 12p Combine like terms: 42 + -42 = 0 -12p = 0 + 12p -12p = 12p Solving -12p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -12p + -12p = 12p + -12p Combine like terms: -12p + -12p = -24p -24p = 12p + -12p Combine like terms: 12p + -12p = 0 -24p = 0 Divide each side by '-24'. p = 0 Simplifying p = 0
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