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Simplifying 4r + -13 = -34 + 7r Reorder the terms: -13 + 4r = -34 + 7r Solving -13 + 4r = -34 + 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. -13 + 4r + -7r = -34 + 7r + -7r Combine like terms: 4r + -7r = -3r -13 + -3r = -34 + 7r + -7r Combine like terms: 7r + -7r = 0 -13 + -3r = -34 + 0 -13 + -3r = -34 Add '13' to each side of the equation. -13 + 13 + -3r = -34 + 13 Combine like terms: -13 + 13 = 0 0 + -3r = -34 + 13 -3r = -34 + 13 Combine like terms: -34 + 13 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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