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Simplifying 4r + 2 = -4 + 7r Reorder the terms: 2 + 4r = -4 + 7r Solving 2 + 4r = -4 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 2 + 4r + -7r = -4 + 7r + -7r Combine like terms: 4r + -7r = -3r 2 + -3r = -4 + 7r + -7r Combine like terms: 7r + -7r = 0 2 + -3r = -4 + 0 2 + -3r = -4 Add '-2' to each side of the equation. 2 + -2 + -3r = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3r = -4 + -2 -3r = -4 + -2 Combine like terms: -4 + -2 = -6 -3r = -6 Divide each side by '-3'. r = 2 Simplifying r = 2
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