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Simplifying -4(v + -2) = -4(v + -8) + -8r Reorder the terms: -4(-2 + v) = -4(v + -8) + -8r (-2 * -4 + v * -4) = -4(v + -8) + -8r (8 + -4v) = -4(v + -8) + -8r Reorder the terms: 8 + -4v = -4(-8 + v) + -8r 8 + -4v = (-8 * -4 + v * -4) + -8r 8 + -4v = (32 + -4v) + -8r Reorder the terms: 8 + -4v = 32 + -8r + -4v Add '4v' to each side of the equation. 8 + -4v + 4v = 32 + -8r + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 0 = 32 + -8r + -4v + 4v 8 = 32 + -8r + -4v + 4v Combine like terms: -4v + 4v = 0 8 = 32 + -8r + 0 8 = 32 + -8r Solving 8 = 32 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 8 + 8r = 32 + -8r + 8r Combine like terms: -8r + 8r = 0 8 + 8r = 32 + 0 8 + 8r = 32 Add '-8' to each side of the equation. 8 + -8 + 8r = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8r = 32 + -8 8r = 32 + -8 Combine like terms: 32 + -8 = 24 8r = 24 Divide each side by '8'. r = 3 Simplifying r = 3
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