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Simplifying -21 + 6r = 3(7r + 4) + -4r Reorder the terms: -21 + 6r = 3(4 + 7r) + -4r -21 + 6r = (4 * 3 + 7r * 3) + -4r -21 + 6r = (12 + 21r) + -4r Combine like terms: 21r + -4r = 17r -21 + 6r = 12 + 17r Solving -21 + 6r = 12 + 17r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-17r' to each side of the equation. -21 + 6r + -17r = 12 + 17r + -17r Combine like terms: 6r + -17r = -11r -21 + -11r = 12 + 17r + -17r Combine like terms: 17r + -17r = 0 -21 + -11r = 12 + 0 -21 + -11r = 12 Add '21' to each side of the equation. -21 + 21 + -11r = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -11r = 12 + 21 -11r = 12 + 21 Combine like terms: 12 + 21 = 33 -11r = 33 Divide each side by '-11'. r = -3 Simplifying r = -3
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