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Simplifying -4(4r + -4) = -11(1 + -1r) Reorder the terms: -4(-4 + 4r) = -11(1 + -1r) (-4 * -4 + 4r * -4) = -11(1 + -1r) (16 + -16r) = -11(1 + -1r) 16 + -16r = (1 * -11 + -1r * -11) 16 + -16r = (-11 + 11r) Solving 16 + -16r = -11 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. 16 + -16r + -11r = -11 + 11r + -11r Combine like terms: -16r + -11r = -27r 16 + -27r = -11 + 11r + -11r Combine like terms: 11r + -11r = 0 16 + -27r = -11 + 0 16 + -27r = -11 Add '-16' to each side of the equation. 16 + -16 + -27r = -11 + -16 Combine like terms: 16 + -16 = 0 0 + -27r = -11 + -16 -27r = -11 + -16 Combine like terms: -11 + -16 = -27 -27r = -27 Divide each side by '-27'. r = 1 Simplifying r = 1
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