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Simplifying -6(-4r + 3) = 14 + -8r Reorder the terms: -6(3 + -4r) = 14 + -8r (3 * -6 + -4r * -6) = 14 + -8r (-18 + 24r) = 14 + -8r Solving -18 + 24r = 14 + -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. -18 + 24r + 8r = 14 + -8r + 8r Combine like terms: 24r + 8r = 32r -18 + 32r = 14 + -8r + 8r Combine like terms: -8r + 8r = 0 -18 + 32r = 14 + 0 -18 + 32r = 14 Add '18' to each side of the equation. -18 + 18 + 32r = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 32r = 14 + 18 32r = 14 + 18 Combine like terms: 14 + 18 = 32 32r = 32 Divide each side by '32'. r = 1 Simplifying r = 1
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