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Simplifying 4r + 7 = 46r + 14 Reorder the terms: 7 + 4r = 46r + 14 Reorder the terms: 7 + 4r = 14 + 46r Solving 7 + 4r = 14 + 46r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-46r' to each side of the equation. 7 + 4r + -46r = 14 + 46r + -46r Combine like terms: 4r + -46r = -42r 7 + -42r = 14 + 46r + -46r Combine like terms: 46r + -46r = 0 7 + -42r = 14 + 0 7 + -42r = 14 Add '-7' to each side of the equation. 7 + -7 + -42r = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -42r = 14 + -7 -42r = 14 + -7 Combine like terms: 14 + -7 = 7 -42r = 7 Divide each side by '-42'. r = -0.1666666667 Simplifying r = -0.1666666667
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