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Simplifying 3(-7r + 20) = 6 + -14r + 11r Reorder the terms: 3(20 + -7r) = 6 + -14r + 11r (20 * 3 + -7r * 3) = 6 + -14r + 11r (60 + -21r) = 6 + -14r + 11r Combine like terms: -14r + 11r = -3r 60 + -21r = 6 + -3r Solving 60 + -21r = 6 + -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. 60 + -21r + 3r = 6 + -3r + 3r Combine like terms: -21r + 3r = -18r 60 + -18r = 6 + -3r + 3r Combine like terms: -3r + 3r = 0 60 + -18r = 6 + 0 60 + -18r = 6 Add '-60' to each side of the equation. 60 + -60 + -18r = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -18r = 6 + -60 -18r = 6 + -60 Combine like terms: 6 + -60 = -54 -18r = -54 Divide each side by '-18'. r = 3 Simplifying r = 3
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