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Simplifying 3r + 54 = 10r + 15 Reorder the terms: 54 + 3r = 10r + 15 Reorder the terms: 54 + 3r = 15 + 10r Solving 54 + 3r = 15 + 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. 54 + 3r + -10r = 15 + 10r + -10r Combine like terms: 3r + -10r = -7r 54 + -7r = 15 + 10r + -10r Combine like terms: 10r + -10r = 0 54 + -7r = 15 + 0 54 + -7r = 15 Add '-54' to each side of the equation. 54 + -54 + -7r = 15 + -54 Combine like terms: 54 + -54 = 0 0 + -7r = 15 + -54 -7r = 15 + -54 Combine like terms: 15 + -54 = -39 -7r = -39 Divide each side by '-7'. r = 5.571428571 Simplifying r = 5.571428571
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