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Simplifying -6(2r + -2) = -8r + 40 Reorder the terms: -6(-2 + 2r) = -8r + 40 (-2 * -6 + 2r * -6) = -8r + 40 (12 + -12r) = -8r + 40 Reorder the terms: 12 + -12r = 40 + -8r Solving 12 + -12r = 40 + -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. 12 + -12r + 8r = 40 + -8r + 8r Combine like terms: -12r + 8r = -4r 12 + -4r = 40 + -8r + 8r Combine like terms: -8r + 8r = 0 12 + -4r = 40 + 0 12 + -4r = 40 Add '-12' to each side of the equation. 12 + -12 + -4r = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -4r = 40 + -12 -4r = 40 + -12 Combine like terms: 40 + -12 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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