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Simplifying 7r + 3 = 42r + 10 Reorder the terms: 3 + 7r = 42r + 10 Reorder the terms: 3 + 7r = 10 + 42r Solving 3 + 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. 3 + 7r + -42r = 10 + 42r + -42r Combine like terms: 7r + -42r = -35r 3 + -35r = 10 + 42r + -42r Combine like terms: 42r + -42r = 0 3 + -35r = 10 + 0 3 + -35r = 10 Add '-3' to each side of the equation. 3 + -3 + -35r = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -35r = 10 + -3 -35r = 10 + -3 Combine like terms: 10 + -3 = 7 -35r = 7 Divide each side by '-35'. r = -0.2 Simplifying r = -0.2
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