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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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