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Simplifying -4(-4r + 8) = -14 + -2r Reorder the terms: -4(8 + -4r) = -14 + -2r (8 * -4 + -4r * -4) = -14 + -2r (-32 + 16r) = -14 + -2r Solving -32 + 16r = -14 + -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. -32 + 16r + 2r = -14 + -2r + 2r Combine like terms: 16r + 2r = 18r -32 + 18r = -14 + -2r + 2r Combine like terms: -2r + 2r = 0 -32 + 18r = -14 + 0 -32 + 18r = -14 Add '32' to each side of the equation. -32 + 32 + 18r = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 18r = -14 + 32 18r = -14 + 32 Combine like terms: -14 + 32 = 18 18r = 18 Divide each side by '18'. r = 1 Simplifying r = 1
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