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Simplifying 2(10r + 4) = 8(10r + 1) Reorder the terms: 2(4 + 10r) = 8(10r + 1) (4 * 2 + 10r * 2) = 8(10r + 1) (8 + 20r) = 8(10r + 1) Reorder the terms: 8 + 20r = 8(1 + 10r) 8 + 20r = (1 * 8 + 10r * 8) 8 + 20r = (8 + 80r) Add '-8' to each side of the equation. 8 + -8 + 20r = 8 + -8 + 80r Combine like terms: 8 + -8 = 0 0 + 20r = 8 + -8 + 80r 20r = 8 + -8 + 80r Combine like terms: 8 + -8 = 0 20r = 0 + 80r 20r = 80r Solving 20r = 80r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-80r' to each side of the equation. 20r + -80r = 80r + -80r Combine like terms: 20r + -80r = -60r -60r = 80r + -80r Combine like terms: 80r + -80r = 0 -60r = 0 Divide each side by '-60'. r = 0 Simplifying r = 0
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