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Simplifying 2(3r + 7) + -1(2 + r) = 0 Reorder the terms: 2(7 + 3r) + -1(2 + r) = 0 (7 * 2 + 3r * 2) + -1(2 + r) = 0 (14 + 6r) + -1(2 + r) = 0 14 + 6r + (2 * -1 + r * -1) = 0 14 + 6r + (-2 + -1r) = 0 Reorder the terms: 14 + -2 + 6r + -1r = 0 Combine like terms: 14 + -2 = 12 12 + 6r + -1r = 0 Combine like terms: 6r + -1r = 5r 12 + 5r = 0 Solving 12 + 5r = 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 + -12 + 5r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5r = 0 + -12 5r = 0 + -12 Combine like terms: 0 + -12 = -12 5r = -12 Divide each side by '5'. r = -2.4 Simplifying r = -2.4
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