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Simplifying 4r + 84 = 7r + -175 Reorder the terms: 84 + 4r = 7r + -175 Reorder the terms: 84 + 4r = -175 + 7r Solving 84 + 4r = -175 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 84 + 4r + -7r = -175 + 7r + -7r Combine like terms: 4r + -7r = -3r 84 + -3r = -175 + 7r + -7r Combine like terms: 7r + -7r = 0 84 + -3r = -175 + 0 84 + -3r = -175 Add '-84' to each side of the equation. 84 + -84 + -3r = -175 + -84 Combine like terms: 84 + -84 = 0 0 + -3r = -175 + -84 -3r = -175 + -84 Combine like terms: -175 + -84 = -259 -3r = -259 Divide each side by '-3'. r = 86.33333333 Simplifying r = 86.33333333
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