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Simplifying 6r + -21 = -30 + 7r Reorder the terms: -21 + 6r = -30 + 7r Solving -21 + 6r = -30 + 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. -21 + 6r + -7r = -30 + 7r + -7r Combine like terms: 6r + -7r = -1r -21 + -1r = -30 + 7r + -7r Combine like terms: 7r + -7r = 0 -21 + -1r = -30 + 0 -21 + -1r = -30 Add '21' to each side of the equation. -21 + 21 + -1r = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -1r = -30 + 21 -1r = -30 + 21 Combine like terms: -30 + 21 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9
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