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Simplifying -4[r + 2] = 4[2 + -4r] Reorder the terms: -4[2 + r] = 4[2 + -4r] [2 * -4 + r * -4] = 4[2 + -4r] [-8 + -4r] = 4[2 + -4r] -8 + -4r = [2 * 4 + -4r * 4] -8 + -4r = [8 + -16r] Solving -8 + -4r = 8 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. -8 + -4r + 16r = 8 + -16r + 16r Combine like terms: -4r + 16r = 12r -8 + 12r = 8 + -16r + 16r Combine like terms: -16r + 16r = 0 -8 + 12r = 8 + 0 -8 + 12r = 8 Add '8' to each side of the equation. -8 + 8 + 12r = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 12r = 8 + 8 12r = 8 + 8 Combine like terms: 8 + 8 = 16 12r = 16 Divide each side by '12'. r = 1.333333333 Simplifying r = 1.333333333
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