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Simplifying -9(4t + rt) = 0.3(7t + 25) Reorder the terms: -9(rt + 4t) = 0.3(7t + 25) (rt * -9 + 4t * -9) = 0.3(7t + 25) (-9rt + -36t) = 0.3(7t + 25) Reorder the terms: -9rt + -36t = 0.3(25 + 7t) -9rt + -36t = (25 * 0.3 + 7t * 0.3) -9rt + -36t = (7.5 + 2.1t) Solving -9rt + -36t = 7.5 + 2.1t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36t' to each side of the equation. -9rt + -36t + 36t = 7.5 + 2.1t + 36t Combine like terms: -36t + 36t = 0 -9rt + 0 = 7.5 + 2.1t + 36t -9rt = 7.5 + 2.1t + 36t Combine like terms: 2.1t + 36t = 38.1t -9rt = 7.5 + 38.1t Divide each side by '-9t'. r = -0.8333333333t-1 + -4.233333333 Simplifying r = -0.8333333333t-1 + -4.233333333 Reorder the terms: r = -4.233333333 + -0.8333333333t-1
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