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Simplifying 420 = 2(r + 20) Reorder the terms: 420 = 2(20 + r) 420 = (20 * 2 + r * 2) 420 = (40 + 2r) Solving 420 = 40 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 420 + -2r = 40 + 2r + -2r Combine like terms: 2r + -2r = 0 420 + -2r = 40 + 0 420 + -2r = 40 Add '-420' to each side of the equation. 420 + -420 + -2r = 40 + -420 Combine like terms: 420 + -420 = 0 0 + -2r = 40 + -420 -2r = 40 + -420 Combine like terms: 40 + -420 = -380 -2r = -380 Divide each side by '-2'. r = 190 Simplifying r = 190
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