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Simplifying 3r + 13 = 7r + 1 Reorder the terms: 13 + 3r = 7r + 1 Reorder the terms: 13 + 3r = 1 + 7r Solving 13 + 3r = 1 + 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 + 3r + -7r = 1 + 7r + -7r Combine like terms: 3r + -7r = -4r 13 + -4r = 1 + 7r + -7r Combine like terms: 7r + -7r = 0 13 + -4r = 1 + 0 13 + -4r = 1 Add '-13' to each side of the equation. 13 + -13 + -4r = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4r = 1 + -13 -4r = 1 + -13 Combine like terms: 1 + -13 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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