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Simplifying 55 = 5(1 + 2r) 55 = (1 * 5 + 2r * 5) 55 = (5 + 10r) Solving 55 = 5 + 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. 55 + -10r = 5 + 10r + -10r Combine like terms: 10r + -10r = 0 55 + -10r = 5 + 0 55 + -10r = 5 Add '-55' to each side of the equation. 55 + -55 + -10r = 5 + -55 Combine like terms: 55 + -55 = 0 0 + -10r = 5 + -55 -10r = 5 + -55 Combine like terms: 5 + -55 = -50 -10r = -50 Divide each side by '-10'. r = 5 Simplifying r = 5
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