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Simplifying 12 = 7 + -1(1p + 4) Reorder the terms: 12 = 7 + -1(4 + 1p) 12 = 7 + (4 * -1 + 1p * -1) 12 = 7 + (-4 + -1p) Combine like terms: 7 + -4 = 3 12 = 3 + -1p Solving 12 = 3 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 12 + p = 3 + -1p + p Combine like terms: -1p + p = 0 12 + p = 3 + 0 12 + p = 3 Add '-12' to each side of the equation. 12 + -12 + p = 3 + -12 Combine like terms: 12 + -12 = 0 0 + p = 3 + -12 p = 3 + -12 Combine like terms: 3 + -12 = -9 p = -9 Simplifying p = -9
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