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Simplifying 21 + -5r = 3(7r + -3) + 4 Reorder the terms: 21 + -5r = 3(-3 + 7r) + 4 21 + -5r = (-3 * 3 + 7r * 3) + 4 21 + -5r = (-9 + 21r) + 4 Reorder the terms: 21 + -5r = -9 + 4 + 21r Combine like terms: -9 + 4 = -5 21 + -5r = -5 + 21r Solving 21 + -5r = -5 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 21 + -5r + -21r = -5 + 21r + -21r Combine like terms: -5r + -21r = -26r 21 + -26r = -5 + 21r + -21r Combine like terms: 21r + -21r = 0 21 + -26r = -5 + 0 21 + -26r = -5 Add '-21' to each side of the equation. 21 + -21 + -26r = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -26r = -5 + -21 -26r = -5 + -21 Combine like terms: -5 + -21 = -26 -26r = -26 Divide each side by '-26'. r = 1 Simplifying r = 1
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