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Simplifying 2(-7r + 3) = 3r + -6 Reorder the terms: 2(3 + -7r) = 3r + -6 (3 * 2 + -7r * 2) = 3r + -6 (6 + -14r) = 3r + -6 Reorder the terms: 6 + -14r = -6 + 3r Solving 6 + -14r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 6 + -14r + -3r = -6 + 3r + -3r Combine like terms: -14r + -3r = -17r 6 + -17r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + -17r = -6 + 0 6 + -17r = -6 Add '-6' to each side of the equation. 6 + -6 + -17r = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -17r = -6 + -6 -17r = -6 + -6 Combine like terms: -6 + -6 = -12 -17r = -12 Divide each side by '-17'. r = 0.7058823529 Simplifying r = 0.7058823529
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