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