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Simplifying -2(3r + -2) = 2r + 8 Reorder the terms: -2(-2 + 3r) = 2r + 8 (-2 * -2 + 3r * -2) = 2r + 8 (4 + -6r) = 2r + 8 Reorder the terms: 4 + -6r = 8 + 2r Solving 4 + -6r = 8 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + -6r + -2r = 8 + 2r + -2r Combine like terms: -6r + -2r = -8r 4 + -8r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + -8r = 8 + 0 4 + -8r = 8 Add '-4' to each side of the equation. 4 + -4 + -8r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -8r = 8 + -4 -8r = 8 + -4 Combine like terms: 8 + -4 = 4 -8r = 4 Divide each side by '-8'. r = -0.5 Simplifying r = -0.5
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