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Simplifying 4r + -5t + -7r + 12t = 0 Reorder the terms: 4r + -7r + -5t + 12t = 0 Combine like terms: 4r + -7r = -3r -3r + -5t + 12t = 0 Combine like terms: -5t + 12t = 7t -3r + 7t = 0 Solving -3r + 7t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7t' to each side of the equation. -3r + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 -3r + 0 = 0 + -7t -3r = 0 + -7t Remove the zero: -3r = -7t Divide each side by '-3'. r = 2.333333333t Simplifying r = 2.333333333t
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