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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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