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