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Simplifying 5 + (-12t) + 8r = 0 Reorder the terms: 5 + 8r + (-12t) = 0 Solving 5 + 8r + (-12t) = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8r + -5 + (-12t) = 0 + -5 Reorder the terms: 5 + -5 + 8r + (-12t) = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8r + (-12t) = 0 + -5 8r + (-12t) = 0 + -5 Combine like terms: 0 + -5 = -5 8r + (-12t) = -5 Add '(12t)' to each side of the equation. 8r + (-12t) + (12t) = -5 + (12t) Combine like terms: (-12t) + (12t) = 0 8r + 0 = -5 + (12t) 8r = -5 + (12t) Divide each side by '8'. r = -0.625 + (1.5t) Simplifying r = -0.625 + (1.5t)
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