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Simplifying 2r + -4 = 5r + -7 Reorder the terms: -4 + 2r = 5r + -7 Reorder the terms: -4 + 2r = -7 + 5r Solving -4 + 2r = -7 + 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 + 2r + -5r = -7 + 5r + -5r Combine like terms: 2r + -5r = -3r -4 + -3r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -4 + -3r = -7 + 0 -4 + -3r = -7 Add '4' to each side of the equation. -4 + 4 + -3r = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -3r = -7 + 4 -3r = -7 + 4 Combine like terms: -7 + 4 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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