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Simplifying 3r + 4 = -5r + -2 Reorder the terms: 4 + 3r = -5r + -2 Reorder the terms: 4 + 3r = -2 + -5r Solving 4 + 3r = -2 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 4 + 3r + 5r = -2 + -5r + 5r Combine like terms: 3r + 5r = 8r 4 + 8r = -2 + -5r + 5r Combine like terms: -5r + 5r = 0 4 + 8r = -2 + 0 4 + 8r = -2 Add '-4' to each side of the equation. 4 + -4 + 8r = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 8r = -2 + -4 8r = -2 + -4 Combine like terms: -2 + -4 = -6 8r = -6 Divide each side by '8'. r = -0.75 Simplifying r = -0.75
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