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Simplifying 2r + 5 = 42r + 13 Reorder the terms: 5 + 2r = 42r + 13 Reorder the terms: 5 + 2r = 13 + 42r Solving 5 + 2r = 13 + 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 + 2r + -42r = 13 + 42r + -42r Combine like terms: 2r + -42r = -40r 5 + -40r = 13 + 42r + -42r Combine like terms: 42r + -42r = 0 5 + -40r = 13 + 0 5 + -40r = 13 Add '-5' to each side of the equation. 5 + -5 + -40r = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -40r = 13 + -5 -40r = 13 + -5 Combine like terms: 13 + -5 = 8 -40r = 8 Divide each side by '-40'. r = -0.2 Simplifying r = -0.2
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