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Simplifying -2(8r + -1) + -6 = -4r + 20 Reorder the terms: -2(-1 + 8r) + -6 = -4r + 20 (-1 * -2 + 8r * -2) + -6 = -4r + 20 (2 + -16r) + -6 = -4r + 20 Reorder the terms: 2 + -6 + -16r = -4r + 20 Combine like terms: 2 + -6 = -4 -4 + -16r = -4r + 20 Reorder the terms: -4 + -16r = 20 + -4r Solving -4 + -16r = 20 + -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. -4 + -16r + 4r = 20 + -4r + 4r Combine like terms: -16r + 4r = -12r -4 + -12r = 20 + -4r + 4r Combine like terms: -4r + 4r = 0 -4 + -12r = 20 + 0 -4 + -12r = 20 Add '4' to each side of the equation. -4 + 4 + -12r = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -12r = 20 + 4 -12r = 20 + 4 Combine like terms: 20 + 4 = 24 -12r = 24 Divide each side by '-12'. r = -2 Simplifying r = -2
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