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Simplifying 420 = 2[r + 10] Reorder the terms: 420 = 2[10 + r] 420 = [10 * 2 + r * 2] 420 = [20 + 2r] Solving 420 = 20 + 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 = 20 + 2r + -2r Combine like terms: 2r + -2r = 0 420 + -2r = 20 + 0 420 + -2r = 20 Add '-420' to each side of the equation. 420 + -420 + -2r = 20 + -420 Combine like terms: 420 + -420 = 0 0 + -2r = 20 + -420 -2r = 20 + -420 Combine like terms: 20 + -420 = -400 -2r = -400 Divide each side by '-2'. r = 200 Simplifying r = 200
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