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Simplifying 5r + -3 = 7r + 5 Reorder the terms: -3 + 5r = 7r + 5 Reorder the terms: -3 + 5r = 5 + 7r Solving -3 + 5r = 5 + 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. -3 + 5r + -7r = 5 + 7r + -7r Combine like terms: 5r + -7r = -2r -3 + -2r = 5 + 7r + -7r Combine like terms: 7r + -7r = 0 -3 + -2r = 5 + 0 -3 + -2r = 5 Add '3' to each side of the equation. -3 + 3 + -2r = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -2r = 5 + 3 -2r = 5 + 3 Combine like terms: 5 + 3 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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