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Simplifying -7r + -2(1 + -2r) = 0 -7r + (1 * -2 + -2r * -2) = 0 -7r + (-2 + 4r) = 0 Reorder the terms: -2 + -7r + 4r = 0 Combine like terms: -7r + 4r = -3r -2 + -3r = 0 Solving -2 + -3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = 0 + 2 -3r = 0 + 2 Combine like terms: 0 + 2 = 2 -3r = 2 Divide each side by '-3'. r = -0.6666666667 Simplifying r = -0.6666666667
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