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Simplifying 12 + -1p = -6(-7p + -2) Reorder the terms: 12 + -1p = -6(-2 + -7p) 12 + -1p = (-2 * -6 + -7p * -6) 12 + -1p = (12 + 42p) Add '-12' to each side of the equation. 12 + -12 + -1p = 12 + -12 + 42p Combine like terms: 12 + -12 = 0 0 + -1p = 12 + -12 + 42p -1p = 12 + -12 + 42p Combine like terms: 12 + -12 = 0 -1p = 0 + 42p -1p = 42p Solving -1p = 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. -1p + -42p = 42p + -42p Combine like terms: -1p + -42p = -43p -43p = 42p + -42p Combine like terms: 42p + -42p = 0 -43p = 0 Divide each side by '-43'. p = 0 Simplifying p = 0
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