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Simplifying 13 + -3p = 5 + -1(5t + 1) Reorder the terms: 13 + -3p = 5 + -1(1 + 5t) 13 + -3p = 5 + (1 * -1 + 5t * -1) 13 + -3p = 5 + (-1 + -5t) Combine like terms: 5 + -1 = 4 13 + -3p = 4 + -5t Solving 13 + -3p = 4 + -5t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3p = 4 + -13 + -5t Combine like terms: 13 + -13 = 0 0 + -3p = 4 + -13 + -5t -3p = 4 + -13 + -5t Combine like terms: 4 + -13 = -9 -3p = -9 + -5t Divide each side by '-3'. p = 3 + 1.666666667t Simplifying p = 3 + 1.666666667t
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