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Simplifying -39 + -5r = -6(2 + 4r) + -8r -39 + -5r = (2 * -6 + 4r * -6) + -8r -39 + -5r = (-12 + -24r) + -8r Combine like terms: -24r + -8r = -32r -39 + -5r = -12 + -32r Solving -39 + -5r = -12 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. -39 + -5r + 32r = -12 + -32r + 32r Combine like terms: -5r + 32r = 27r -39 + 27r = -12 + -32r + 32r Combine like terms: -32r + 32r = 0 -39 + 27r = -12 + 0 -39 + 27r = -12 Add '39' to each side of the equation. -39 + 39 + 27r = -12 + 39 Combine like terms: -39 + 39 = 0 0 + 27r = -12 + 39 27r = -12 + 39 Combine like terms: -12 + 39 = 27 27r = 27 Divide each side by '27'. r = 1 Simplifying r = 1
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