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Simplifying -4(-2r + 1) = 2 + 2r Reorder the terms: -4(1 + -2r) = 2 + 2r (1 * -4 + -2r * -4) = 2 + 2r (-4 + 8r) = 2 + 2r Solving -4 + 8r = 2 + 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 + 8r + -2r = 2 + 2r + -2r Combine like terms: 8r + -2r = 6r -4 + 6r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + 6r = 2 + 0 -4 + 6r = 2 Add '4' to each side of the equation. -4 + 4 + 6r = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6r = 2 + 4 6r = 2 + 4 Combine like terms: 2 + 4 = 6 6r = 6 Divide each side by '6'. r = 1 Simplifying r = 1
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