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Simplifying 3r + 5(6 + -1t) = 4 3r + (6 * 5 + -1t * 5) = 4 3r + (30 + -5t) = 4 Reorder the terms: 30 + 3r + -5t = 4 Solving 30 + 3r + -5t = 4 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 3r + -30 + -5t = 4 + -30 Reorder the terms: 30 + -30 + 3r + -5t = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 3r + -5t = 4 + -30 3r + -5t = 4 + -30 Combine like terms: 4 + -30 = -26 3r + -5t = -26 Add '5t' to each side of the equation. 3r + -5t + 5t = -26 + 5t Combine like terms: -5t + 5t = 0 3r + 0 = -26 + 5t 3r = -26 + 5t Divide each side by '3'. r = -8.666666667 + 1.666666667t Simplifying r = -8.666666667 + 1.666666667t
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