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Simplifying 6p + 7p + 12 = 4 + 1p + 8 Reorder the terms: 12 + 6p + 7p = 4 + 1p + 8 Combine like terms: 6p + 7p = 13p 12 + 13p = 4 + 1p + 8 Reorder the terms: 12 + 13p = 4 + 8 + 1p Combine like terms: 4 + 8 = 12 12 + 13p = 12 + 1p Add '-12' to each side of the equation. 12 + -12 + 13p = 12 + -12 + 1p Combine like terms: 12 + -12 = 0 0 + 13p = 12 + -12 + 1p 13p = 12 + -12 + 1p Combine like terms: 12 + -12 = 0 13p = 0 + 1p 13p = 1p Solving 13p = 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 13p + -1p = 1p + -1p Combine like terms: 13p + -1p = 12p 12p = 1p + -1p Combine like terms: 1p + -1p = 0 12p = 0 Divide each side by '12'. p = 0 Simplifying p = 0
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