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Simplifying 3r + 7 = (-5r) + -4 Reorder the terms: 7 + 3r = (-5r) + -4 Reorder the terms: 7 + 3r = -4 + (-5r) Solving 7 + 3r = -4 + (-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. 7 + 3r + (5r) = -4 + (-5r) + (5r) Combine like terms: 3r + (5r) = 8r 7 + 8r = -4 + (-5r) + (5r) Combine like terms: (-5r) + (5r) = 0 7 + 8r = -4 + 0 7 + 8r = -4 Add '-7' to each side of the equation. 7 + -7 + 8r = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 8r = -4 + -7 8r = -4 + -7 Combine like terms: -4 + -7 = -11 8r = -11 Divide each side by '8'. r = -1.375 Simplifying r = -1.375
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