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Simplifying 6(1 + -3r) = -38 + -7r (1 * 6 + -3r * 6) = -38 + -7r (6 + -18r) = -38 + -7r Solving 6 + -18r = -38 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 6 + -18r + 7r = -38 + -7r + 7r Combine like terms: -18r + 7r = -11r 6 + -11r = -38 + -7r + 7r Combine like terms: -7r + 7r = 0 6 + -11r = -38 + 0 6 + -11r = -38 Add '-6' to each side of the equation. 6 + -6 + -11r = -38 + -6 Combine like terms: 6 + -6 = 0 0 + -11r = -38 + -6 -11r = -38 + -6 Combine like terms: -38 + -6 = -44 -11r = -44 Divide each side by '-11'. r = 4 Simplifying r = 4
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