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Simplifying 5r + -4(4r + -2) = 4 + -6r Reorder the terms: 5r + -4(-2 + 4r) = 4 + -6r 5r + (-2 * -4 + 4r * -4) = 4 + -6r 5r + (8 + -16r) = 4 + -6r Reorder the terms: 8 + 5r + -16r = 4 + -6r Combine like terms: 5r + -16r = -11r 8 + -11r = 4 + -6r Solving 8 + -11r = 4 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 8 + -11r + 6r = 4 + -6r + 6r Combine like terms: -11r + 6r = -5r 8 + -5r = 4 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + -5r = 4 + 0 8 + -5r = 4 Add '-8' to each side of the equation. 8 + -8 + -5r = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -5r = 4 + -8 -5r = 4 + -8 Combine like terms: 4 + -8 = -4 -5r = -4 Divide each side by '-5'. r = 0.8 Simplifying r = 0.8
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