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Simplifying 2 + 3(5r + -9) = 7t + -3(9 + -3t) Reorder the terms: 2 + 3(-9 + 5r) = 7t + -3(9 + -3t) 2 + (-9 * 3 + 5r * 3) = 7t + -3(9 + -3t) 2 + (-27 + 15r) = 7t + -3(9 + -3t) Combine like terms: 2 + -27 = -25 -25 + 15r = 7t + -3(9 + -3t) -25 + 15r = 7t + (9 * -3 + -3t * -3) -25 + 15r = 7t + (-27 + 9t) Reorder the terms: -25 + 15r = -27 + 7t + 9t Combine like terms: 7t + 9t = 16t -25 + 15r = -27 + 16t Solving -25 + 15r = -27 + 16t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 15r = -27 + 25 + 16t Combine like terms: -25 + 25 = 0 0 + 15r = -27 + 25 + 16t 15r = -27 + 25 + 16t Combine like terms: -27 + 25 = -2 15r = -2 + 16t Divide each side by '15'. r = -0.1333333333 + 1.066666667t Simplifying r = -0.1333333333 + 1.066666667t
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