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Simplifying 3r + 7 = 4r + 1 Reorder the terms: 7 + 3r = 4r + 1 Reorder the terms: 7 + 3r = 1 + 4r Solving 7 + 3r = 1 + 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. 7 + 3r + -4r = 1 + 4r + -4r Combine like terms: 3r + -4r = -1r 7 + -1r = 1 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + -1r = 1 + 0 7 + -1r = 1 Add '-7' to each side of the equation. 7 + -7 + -1r = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 1 + -7 -1r = 1 + -7 Combine like terms: 1 + -7 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6
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