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Simplifying 5r + t = 3(r + -8) Reorder the terms: 5r + t = 3(-8 + r) 5r + t = (-8 * 3 + r * 3) 5r + t = (-24 + 3r) Solving 5r + t = -24 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5r + -3r + t = -24 + 3r + -3r Combine like terms: 5r + -3r = 2r 2r + t = -24 + 3r + -3r Combine like terms: 3r + -3r = 0 2r + t = -24 + 0 2r + t = -24 Add '-1t' to each side of the equation. 2r + t + -1t = -24 + -1t Combine like terms: t + -1t = 0 2r + 0 = -24 + -1t 2r = -24 + -1t Divide each side by '2'. r = -12 + -0.5t Simplifying r = -12 + -0.5t
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