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Simplifying 12 + -1p = 6(7 + -1p) 12 + -1p = (7 * 6 + -1p * 6) 12 + -1p = (42 + -6p) Solving 12 + -1p = 42 + -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. 12 + -1p + 6p = 42 + -6p + 6p Combine like terms: -1p + 6p = 5p 12 + 5p = 42 + -6p + 6p Combine like terms: -6p + 6p = 0 12 + 5p = 42 + 0 12 + 5p = 42 Add '-12' to each side of the equation. 12 + -12 + 5p = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5p = 42 + -12 5p = 42 + -12 Combine like terms: 42 + -12 = 30 5p = 30 Divide each side by '5'. p = 6 Simplifying p = 6
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