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Simplifying 20 + -5r = r + 2(1 + 6r) 20 + -5r = r + (1 * 2 + 6r * 2) 20 + -5r = r + (2 + 12r) Reorder the terms: 20 + -5r = 2 + r + 12r Combine like terms: r + 12r = 13r 20 + -5r = 2 + 13r Solving 20 + -5r = 2 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 20 + -5r + -13r = 2 + 13r + -13r Combine like terms: -5r + -13r = -18r 20 + -18r = 2 + 13r + -13r Combine like terms: 13r + -13r = 0 20 + -18r = 2 + 0 20 + -18r = 2 Add '-20' to each side of the equation. 20 + -20 + -18r = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -18r = 2 + -20 -18r = 2 + -20 Combine like terms: 2 + -20 = -18 -18r = -18 Divide each side by '-18'. r = 1 Simplifying r = 1
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