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Simplifying 12 + p + -4 + 5p = 1 + 7p Reorder the terms: 12 + -4 + p + 5p = 1 + 7p Combine like terms: 12 + -4 = 8 8 + p + 5p = 1 + 7p Combine like terms: p + 5p = 6p 8 + 6p = 1 + 7p Solving 8 + 6p = 1 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 8 + 6p + -7p = 1 + 7p + -7p Combine like terms: 6p + -7p = -1p 8 + -1p = 1 + 7p + -7p Combine like terms: 7p + -7p = 0 8 + -1p = 1 + 0 8 + -1p = 1 Add '-8' to each side of the equation. 8 + -8 + -1p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 1 + -8 -1p = 1 + -8 Combine like terms: 1 + -8 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7
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