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Simplifying 8r + -4(-5r + -2) = 12r Reorder the terms: 8r + -4(-2 + -5r) = 12r 8r + (-2 * -4 + -5r * -4) = 12r 8r + (8 + 20r) = 12r Reorder the terms: 8 + 8r + 20r = 12r Combine like terms: 8r + 20r = 28r 8 + 28r = 12r Solving 8 + 28r = 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 8 + 28r + -12r = 12r + -12r Combine like terms: 28r + -12r = 16r 8 + 16r = 12r + -12r Combine like terms: 12r + -12r = 0 8 + 16r = 0 Add '-8' to each side of the equation. 8 + -8 + 16r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16r = 0 + -8 16r = 0 + -8 Combine like terms: 0 + -8 = -8 16r = -8 Divide each side by '16'. r = -0.5 Simplifying r = -0.5
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