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Simplifying 7(3r + 2) + -6r = 0 Reorder the terms: 7(2 + 3r) + -6r = 0 (2 * 7 + 3r * 7) + -6r = 0 (14 + 21r) + -6r = 0 Combine like terms: 21r + -6r = 15r 14 + 15r = 0 Solving 14 + 15r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 15r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 15r = 0 + -14 15r = 0 + -14 Combine like terms: 0 + -14 = -14 15r = -14 Divide each side by '15'. r = -0.9333333333 Simplifying r = -0.9333333333
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