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Simplifying -3r + 34 = 4r + -15 Reorder the terms: 34 + -3r = 4r + -15 Reorder the terms: 34 + -3r = -15 + 4r Solving 34 + -3r = -15 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 34 + -3r + -4r = -15 + 4r + -4r Combine like terms: -3r + -4r = -7r 34 + -7r = -15 + 4r + -4r Combine like terms: 4r + -4r = 0 34 + -7r = -15 + 0 34 + -7r = -15 Add '-34' to each side of the equation. 34 + -34 + -7r = -15 + -34 Combine like terms: 34 + -34 = 0 0 + -7r = -15 + -34 -7r = -15 + -34 Combine like terms: -15 + -34 = -49 -7r = -49 Divide each side by '-7'. r = 7 Simplifying r = 7
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