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Simplifying 4r + -1 = 3r + 7 Reorder the terms: -1 + 4r = 3r + 7 Reorder the terms: -1 + 4r = 7 + 3r Solving -1 + 4r = 7 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -1 + 4r + -3r = 7 + 3r + -3r Combine like terms: 4r + -3r = 1r -1 + 1r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 -1 + 1r = 7 + 0 -1 + 1r = 7 Add '1' to each side of the equation. -1 + 1 + 1r = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1r = 7 + 1 1r = 7 + 1 Combine like terms: 7 + 1 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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