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Simplifying -4r + 2 = 4(2 + -4r) Reorder the terms: 2 + -4r = 4(2 + -4r) 2 + -4r = (2 * 4 + -4r * 4) 2 + -4r = (8 + -16r) Solving 2 + -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. 2 + -4r + 16r = 8 + -16r + 16r Combine like terms: -4r + 16r = 12r 2 + 12r = 8 + -16r + 16r Combine like terms: -16r + 16r = 0 2 + 12r = 8 + 0 2 + 12r = 8 Add '-2' to each side of the equation. 2 + -2 + 12r = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 12r = 8 + -2 12r = 8 + -2 Combine like terms: 8 + -2 = 6 12r = 6 Divide each side by '12'. r = 0.5 Simplifying r = 0.5
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