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Simplifying 75 = 3(-10t + -3) + 6r Reorder the terms: 75 = 3(-3 + -10t) + 6r 75 = (-3 * 3 + -10t * 3) + 6r 75 = (-9 + -30t) + 6r Reorder the terms: 75 = -9 + 6r + -30t Solving 75 = -9 + 6r + -30t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 75 + -6r = -9 + 6r + -6r + -30t Combine like terms: 6r + -6r = 0 75 + -6r = -9 + 0 + -30t 75 + -6r = -9 + -30t Add '-75' to each side of the equation. 75 + -75 + -6r = -9 + -75 + -30t Combine like terms: 75 + -75 = 0 0 + -6r = -9 + -75 + -30t -6r = -9 + -75 + -30t Combine like terms: -9 + -75 = -84 -6r = -84 + -30t Divide each side by '-6'. r = 14 + 5t Simplifying r = 14 + 5t
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