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Simplifying 3(4 + 7r) + 3x = 0 (4 * 3 + 7r * 3) + 3x = 0 (12 + 21r) + 3x = 0 Solving 12 + 21r + 3x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 21r + -12 + 3x = 0 + -12 Reorder the terms: 12 + -12 + 21r + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 21r + 3x = 0 + -12 21r + 3x = 0 + -12 Combine like terms: 0 + -12 = -12 21r + 3x = -12 Add '-3x' to each side of the equation. 21r + 3x + -3x = -12 + -3x Combine like terms: 3x + -3x = 0 21r + 0 = -12 + -3x 21r = -12 + -3x Divide each side by '21'. r = -0.5714285714 + -0.1428571429x Simplifying r = -0.5714285714 + -0.1428571429x
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