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Simplifying 2(3r + 1) + -4(r + -4) = 0 Reorder the terms: 2(1 + 3r) + -4(r + -4) = 0 (1 * 2 + 3r * 2) + -4(r + -4) = 0 (2 + 6r) + -4(r + -4) = 0 Reorder the terms: 2 + 6r + -4(-4 + r) = 0 2 + 6r + (-4 * -4 + r * -4) = 0 2 + 6r + (16 + -4r) = 0 Reorder the terms: 2 + 16 + 6r + -4r = 0 Combine like terms: 2 + 16 = 18 18 + 6r + -4r = 0 Combine like terms: 6r + -4r = 2r 18 + 2r = 0 Solving 18 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2r = 0 + -18 2r = 0 + -18 Combine like terms: 0 + -18 = -18 2r = -18 Divide each side by '2'. r = -9 Simplifying r = -9
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