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Simplifying 8t + 3r + -7t + -9r = 0 Reorder the terms: 3r + -9r + 8t + -7t = 0 Combine like terms: 3r + -9r = -6r -6r + 8t + -7t = 0 Combine like terms: 8t + -7t = 1t -6r + 1t = 0 Solving -6r + 1t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. -6r + 1t + -1t = 0 + -1t Combine like terms: 1t + -1t = 0 -6r + 0 = 0 + -1t -6r = 0 + -1t Remove the zero: -6r = -1t Divide each side by '-6'. r = 0.1666666667t Simplifying r = 0.1666666667t
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