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Simplifying [2p + -1(5t + q) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0 Reorder the terms: [2p + -1(q + 5t) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0 [2p + (q * -1 + 5t * -1) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0 [2p + (-1q + -5t) + (-9p + -3t) + (8q + 6t) + t + -3p + -5q] = 0 Remove parenthesis around (-9p + -3t) [2p + -1q + -5t + -9p + -3t + (8q + 6t) + t + -3p + -5q] = 0 Remove parenthesis around (8q + 6t) [2p + -1q + -5t + -9p + -3t + 8q + 6t + t + -3p + -5q] = 0 Reorder the terms: [2p + -9p + -3p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0 Combine like terms: 2p + -9p = -7p [-7p + -3p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0 Combine like terms: -7p + -3p = -10p [-10p + -1q + 8q + -5q + -5t + -3t + 6t + t] = 0 Combine like terms: -1q + 8q = 7q [-10p + 7q + -5q + -5t + -3t + 6t + t] = 0 Combine like terms: 7q + -5q = 2q [-10p + 2q + -5t + -3t + 6t + t] = 0 Combine like terms: -5t + -3t = -8t [-10p + 2q + -8t + 6t + t] = 0 Combine like terms: -8t + 6t = -2t [-10p + 2q + -2t + t] = 0 Combine like terms: -2t + t = -1t [-10p + 2q + -1t] = 0 Remove brackets around [-10p + 2q + -1t] -10p + 2q + -1t = 0 Solving -10p + 2q + -1t = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2q' to each side of the equation. -10p + 2q + -2q + -1t = 0 + -2q Combine like terms: 2q + -2q = 0 -10p + 0 + -1t = 0 + -2q -10p + -1t = 0 + -2q Remove the zero: -10p + -1t = -2q Add 't' to each side of the equation. -10p + -1t + t = -2q + t Combine like terms: -1t + t = 0 -10p + 0 = -2q + t -10p = -2q + t Divide each side by '-10'. p = 0.2q + -0.1t Simplifying p = 0.2q + -0.1t
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