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Simplifying -6(-7r + -2) = 12 + 6r Reorder the terms: -6(-2 + -7r) = 12 + 6r (-2 * -6 + -7r * -6) = 12 + 6r (12 + 42r) = 12 + 6r Add '-12' to each side of the equation. 12 + -12 + 42r = 12 + -12 + 6r Combine like terms: 12 + -12 = 0 0 + 42r = 12 + -12 + 6r 42r = 12 + -12 + 6r Combine like terms: 12 + -12 = 0 42r = 0 + 6r 42r = 6r Solving 42r = 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. 42r + -6r = 6r + -6r Combine like terms: 42r + -6r = 36r 36r = 6r + -6r Combine like terms: 6r + -6r = 0 36r = 0 Divide each side by '36'. r = 0 Simplifying r = 0
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