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Simplifying 11r + -3(x + -2) = 8x + 3 Reorder the terms: 11r + -3(-2 + x) = 8x + 3 11r + (-2 * -3 + x * -3) = 8x + 3 11r + (6 + -3x) = 8x + 3 Reorder the terms: 6 + 11r + -3x = 8x + 3 Reorder the terms: 6 + 11r + -3x = 3 + 8x Solving 6 + 11r + -3x = 3 + 8x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 11r + -6 + -3x = 3 + -6 + 8x Reorder the terms: 6 + -6 + 11r + -3x = 3 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 11r + -3x = 3 + -6 + 8x 11r + -3x = 3 + -6 + 8x Combine like terms: 3 + -6 = -3 11r + -3x = -3 + 8x Add '3x' to each side of the equation. 11r + -3x + 3x = -3 + 8x + 3x Combine like terms: -3x + 3x = 0 11r + 0 = -3 + 8x + 3x 11r = -3 + 8x + 3x Combine like terms: 8x + 3x = 11x 11r = -3 + 11x Divide each side by '11'. r = -0.2727272727 + x Simplifying r = -0.2727272727 + x
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