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Simplifying -2(2r + -1) + -3(r + -4) = 0 Reorder the terms: -2(-1 + 2r) + -3(r + -4) = 0 (-1 * -2 + 2r * -2) + -3(r + -4) = 0 (2 + -4r) + -3(r + -4) = 0 Reorder the terms: 2 + -4r + -3(-4 + r) = 0 2 + -4r + (-4 * -3 + r * -3) = 0 2 + -4r + (12 + -3r) = 0 Reorder the terms: 2 + 12 + -4r + -3r = 0 Combine like terms: 2 + 12 = 14 14 + -4r + -3r = 0 Combine like terms: -4r + -3r = -7r 14 + -7r = 0 Solving 14 + -7r = 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 + -7r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7r = 0 + -14 -7r = 0 + -14 Combine like terms: 0 + -14 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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