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Simplifying 8r + 4(2r + -6) = 4r + -4 Reorder the terms: 8r + 4(-6 + 2r) = 4r + -4 8r + (-6 * 4 + 2r * 4) = 4r + -4 8r + (-24 + 8r) = 4r + -4 Reorder the terms: -24 + 8r + 8r = 4r + -4 Combine like terms: 8r + 8r = 16r -24 + 16r = 4r + -4 Reorder the terms: -24 + 16r = -4 + 4r Solving -24 + 16r = -4 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -24 + 16r + -4r = -4 + 4r + -4r Combine like terms: 16r + -4r = 12r -24 + 12r = -4 + 4r + -4r Combine like terms: 4r + -4r = 0 -24 + 12r = -4 + 0 -24 + 12r = -4 Add '24' to each side of the equation. -24 + 24 + 12r = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 12r = -4 + 24 12r = -4 + 24 Combine like terms: -4 + 24 = 20 12r = 20 Divide each side by '12'. r = 1.666666667 Simplifying r = 1.666666667
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