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Simplifying r + -2 = 4r + 7 Reorder the terms: -2 + r = 4r + 7 Reorder the terms: -2 + r = 7 + 4r Solving -2 + r = 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. -2 + r + -4r = 7 + 4r + -4r Combine like terms: r + -4r = -3r -2 + -3r = 7 + 4r + -4r Combine like terms: 4r + -4r = 0 -2 + -3r = 7 + 0 -2 + -3r = 7 Add '2' to each side of the equation. -2 + 2 + -3r = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = 7 + 2 -3r = 7 + 2 Combine like terms: 7 + 2 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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