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Simplifying 5t + -8r + 2(2r + 3t) = 0 5t + -8r + (2r * 2 + 3t * 2) = 0 5t + -8r + (4r + 6t) = 0 Reorder the terms: -8r + 4r + 5t + 6t = 0 Combine like terms: -8r + 4r = -4r -4r + 5t + 6t = 0 Combine like terms: 5t + 6t = 11t -4r + 11t = 0 Solving -4r + 11t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11t' to each side of the equation. -4r + 11t + -11t = 0 + -11t Combine like terms: 11t + -11t = 0 -4r + 0 = 0 + -11t -4r = 0 + -11t Remove the zero: -4r = -11t Divide each side by '-4'. r = 2.75t Simplifying r = 2.75t
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