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Simplifying 75 = 10r + 45 Reorder the terms: 75 = 45 + 10r Solving 75 = 45 + 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. 75 + -10r = 45 + 10r + -10r Combine like terms: 10r + -10r = 0 75 + -10r = 45 + 0 75 + -10r = 45 Add '-75' to each side of the equation. 75 + -75 + -10r = 45 + -75 Combine like terms: 75 + -75 = 0 0 + -10r = 45 + -75 -10r = 45 + -75 Combine like terms: 45 + -75 = -30 -10r = -30 Divide each side by '-10'. r = 3 Simplifying r = 3
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