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Simplifying -2(2r + -4) = 3(r + -2) Reorder the terms: -2(-4 + 2r) = 3(r + -2) (-4 * -2 + 2r * -2) = 3(r + -2) (8 + -4r) = 3(r + -2) Reorder the terms: 8 + -4r = 3(-2 + r) 8 + -4r = (-2 * 3 + r * 3) 8 + -4r = (-6 + 3r) Solving 8 + -4r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 8 + -4r + -3r = -6 + 3r + -3r Combine like terms: -4r + -3r = -7r 8 + -7r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + -7r = -6 + 0 8 + -7r = -6 Add '-8' to each side of the equation. 8 + -8 + -7r = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7r = -6 + -8 -7r = -6 + -8 Combine like terms: -6 + -8 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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