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Simplifying 7r + 5 = 42r + 10 Reorder the terms: 5 + 7r = 42r + 10 Reorder the terms: 5 + 7r = 10 + 42r Solving 5 + 7r = 10 + 42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42r' to each side of the equation. 5 + 7r + -42r = 10 + 42r + -42r Combine like terms: 7r + -42r = -35r 5 + -35r = 10 + 42r + -42r Combine like terms: 42r + -42r = 0 5 + -35r = 10 + 0 5 + -35r = 10 Add '-5' to each side of the equation. 5 + -5 + -35r = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -35r = 10 + -5 -35r = 10 + -5 Combine like terms: 10 + -5 = 5 -35r = 5 Divide each side by '-35'. r = -0.1428571429 Simplifying r = -0.1428571429
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