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Simplifying 5 + -2r = 4r + -7 Reorder the terms: 5 + -2r = -7 + 4r Solving 5 + -2r = -7 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 5 + -2r + -4r = -7 + 4r + -4r Combine like terms: -2r + -4r = -6r 5 + -6r = -7 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -6r = -7 + 0 5 + -6r = -7 Add '-5' to each side of the equation. 5 + -5 + -6r = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = -7 + -5 -6r = -7 + -5 Combine like terms: -7 + -5 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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