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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 = -20r 12 + -20r = 40 + 8r + -8r Combine like terms: 8r + -8r = 0 12 + -20r = 40 + 0 12 + -20r = 40 Add '-12' to each side of the equation. 12 + -12 + -20r = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -20r = 40 + -12 -20r = 40 + -12 Combine like terms: 40 + -12 = 28 -20r = 28 Divide each side by '-20'. r = -1.4 Simplifying r = -1.4
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