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Simplifying 7 + 3r + -1 = 9r + 6 + -2r Reorder the terms: 7 + -1 + 3r = 9r + 6 + -2r Combine like terms: 7 + -1 = 6 6 + 3r = 9r + 6 + -2r Reorder the terms: 6 + 3r = 6 + 9r + -2r Combine like terms: 9r + -2r = 7r 6 + 3r = 6 + 7r Add '-6' to each side of the equation. 6 + -6 + 3r = 6 + -6 + 7r Combine like terms: 6 + -6 = 0 0 + 3r = 6 + -6 + 7r 3r = 6 + -6 + 7r Combine like terms: 6 + -6 = 0 3r = 0 + 7r 3r = 7r Solving 3r = 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. 3r + -7r = 7r + -7r Combine like terms: 3r + -7r = -4r -4r = 7r + -7r Combine like terms: 7r + -7r = 0 -4r = 0 Divide each side by '-4'. r = 0 Simplifying r = 0
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