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Simplifying 100 + 5r = 2r(5) Reorder the terms for easier multiplication: 100 + 5r = 2 * 5r Multiply 2 * 5 100 + 5r = 10r Solving 100 + 5r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 100 + 5r + -10r = 10r + -10r Combine like terms: 5r + -10r = -5r 100 + -5r = 10r + -10r Combine like terms: 10r + -10r = 0 100 + -5r = 0 Add '-100' to each side of the equation. 100 + -100 + -5r = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -5r = 0 + -100 -5r = 0 + -100 Combine like terms: 0 + -100 = -100 -5r = -100 Divide each side by '-5'. r = 20 Simplifying r = 20
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