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Simplifying -6r + -6(1 + -4r) = -36 + 8r -6r + (1 * -6 + -4r * -6) = -36 + 8r -6r + (-6 + 24r) = -36 + 8r Reorder the terms: -6 + -6r + 24r = -36 + 8r Combine like terms: -6r + 24r = 18r -6 + 18r = -36 + 8r Solving -6 + 18r = -36 + 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. -6 + 18r + -8r = -36 + 8r + -8r Combine like terms: 18r + -8r = 10r -6 + 10r = -36 + 8r + -8r Combine like terms: 8r + -8r = 0 -6 + 10r = -36 + 0 -6 + 10r = -36 Add '6' to each side of the equation. -6 + 6 + 10r = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 10r = -36 + 6 10r = -36 + 6 Combine like terms: -36 + 6 = -30 10r = -30 Divide each side by '10'. r = -3 Simplifying r = -3
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