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Simplifying 10(10r + 4) = 10(4 + 5r) Reorder the terms: 10(4 + 10r) = 10(4 + 5r) (4 * 10 + 10r * 10) = 10(4 + 5r) (40 + 100r) = 10(4 + 5r) 40 + 100r = (4 * 10 + 5r * 10) 40 + 100r = (40 + 50r) Add '-40' to each side of the equation. 40 + -40 + 100r = 40 + -40 + 50r Combine like terms: 40 + -40 = 0 0 + 100r = 40 + -40 + 50r 100r = 40 + -40 + 50r Combine like terms: 40 + -40 = 0 100r = 0 + 50r 100r = 50r Solving 100r = 50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-50r' to each side of the equation. 100r + -50r = 50r + -50r Combine like terms: 100r + -50r = 50r 50r = 50r + -50r Combine like terms: 50r + -50r = 0 50r = 0 Divide each side by '50'. r = 0 Simplifying r = 0
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