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Simplifying 4r + 2 = 3r + -5 Reorder the terms: 2 + 4r = 3r + -5 Reorder the terms: 2 + 4r = -5 + 3r Solving 2 + 4r = -5 + 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. 2 + 4r + -3r = -5 + 3r + -3r Combine like terms: 4r + -3r = 1r 2 + 1r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 1r = -5 + 0 2 + 1r = -5 Add '-2' to each side of the equation. 2 + -2 + 1r = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1r = -5 + -2 1r = -5 + -2 Combine like terms: -5 + -2 = -7 1r = -7 Divide each side by '1'. r = -7 Simplifying r = -7
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