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Simplifying -3(4t + 8) + -7r = -233 Reorder the terms: -3(8 + 4t) + -7r = -233 (8 * -3 + 4t * -3) + -7r = -233 (-24 + -12t) + -7r = -233 Reorder the terms: -24 + -7r + -12t = -233 Solving -24 + -7r + -12t = -233 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -7r + 24 + -12t = -233 + 24 Reorder the terms: -24 + 24 + -7r + -12t = -233 + 24 Combine like terms: -24 + 24 = 0 0 + -7r + -12t = -233 + 24 -7r + -12t = -233 + 24 Combine like terms: -233 + 24 = -209 -7r + -12t = -209 Add '12t' to each side of the equation. -7r + -12t + 12t = -209 + 12t Combine like terms: -12t + 12t = 0 -7r + 0 = -209 + 12t -7r = -209 + 12t Divide each side by '-7'. r = 29.85714286 + -1.714285714t Simplifying r = 29.85714286 + -1.714285714t
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