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