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Simplifying (7p + 3t) + (6p + 4t) = 16 Remove parenthesis around (7p + 3t) 7p + 3t + (6p + 4t) = 16 Remove parenthesis around (6p + 4t) 7p + 3t + 6p + 4t = 16 Reorder the terms: 7p + 6p + 3t + 4t = 16 Combine like terms: 7p + 6p = 13p 13p + 3t + 4t = 16 Combine like terms: 3t + 4t = 7t 13p + 7t = 16 Solving 13p + 7t = 16 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7t' to each side of the equation. 13p + 7t + -7t = 16 + -7t Combine like terms: 7t + -7t = 0 13p + 0 = 16 + -7t 13p = 16 + -7t Divide each side by '13'. p = 1.230769231 + -0.5384615385t Simplifying p = 1.230769231 + -0.5384615385t
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