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Simplifying 4r + 11 = 5 + -2(3 + -5x) Reorder the terms: 11 + 4r = 5 + -2(3 + -5x) 11 + 4r = 5 + (3 * -2 + -5x * -2) 11 + 4r = 5 + (-6 + 10x) Combine like terms: 5 + -6 = -1 11 + 4r = -1 + 10x Solving 11 + 4r = -1 + 10x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4r = -1 + -11 + 10x Combine like terms: 11 + -11 = 0 0 + 4r = -1 + -11 + 10x 4r = -1 + -11 + 10x Combine like terms: -1 + -11 = -12 4r = -12 + 10x Divide each side by '4'. r = -3 + 2.5x Simplifying r = -3 + 2.5x
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