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