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Simplifying 3p + 5t + 7 + -2p + t + 9 = 0 Reorder the terms: 7 + 9 + 3p + -2p + 5t + t = 0 Combine like terms: 7 + 9 = 16 16 + 3p + -2p + 5t + t = 0 Combine like terms: 3p + -2p = 1p 16 + 1p + 5t + t = 0 Combine like terms: 5t + t = 6t 16 + 1p + 6t = 0 Solving 16 + 1p + 6t = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 1p + -16 + 6t = 0 + -16 Reorder the terms: 16 + -16 + 1p + 6t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1p + 6t = 0 + -16 1p + 6t = 0 + -16 Combine like terms: 0 + -16 = -16 1p + 6t = -16 Add '-6t' to each side of the equation. 1p + 6t + -6t = -16 + -6t Combine like terms: 6t + -6t = 0 1p + 0 = -16 + -6t 1p = -16 + -6t Divide each side by '1'. p = -16 + -6t Simplifying p = -16 + -6t
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