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Simplifying 6 + -4(8r + -2) = -38 + -6r Reorder the terms: 6 + -4(-2 + 8r) = -38 + -6r 6 + (-2 * -4 + 8r * -4) = -38 + -6r 6 + (8 + -32r) = -38 + -6r Combine like terms: 6 + 8 = 14 14 + -32r = -38 + -6r Solving 14 + -32r = -38 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 14 + -32r + 6r = -38 + -6r + 6r Combine like terms: -32r + 6r = -26r 14 + -26r = -38 + -6r + 6r Combine like terms: -6r + 6r = 0 14 + -26r = -38 + 0 14 + -26r = -38 Add '-14' to each side of the equation. 14 + -14 + -26r = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -26r = -38 + -14 -26r = -38 + -14 Combine like terms: -38 + -14 = -52 -26r = -52 Divide each side by '-26'. r = 2 Simplifying r = 2
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