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Simplifying -9(-3r + -7) = 6r Reorder the terms: -9(-7 + -3r) = 6r (-7 * -9 + -3r * -9) = 6r (63 + 27r) = 6r Solving 63 + 27r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 63 + 27r + -6r = 6r + -6r Combine like terms: 27r + -6r = 21r 63 + 21r = 6r + -6r Combine like terms: 6r + -6r = 0 63 + 21r = 0 Add '-63' to each side of the equation. 63 + -63 + 21r = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 21r = 0 + -63 21r = 0 + -63 Combine like terms: 0 + -63 = -63 21r = -63 Divide each side by '21'. r = -3 Simplifying r = -3
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