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Simplifying 4r + -2(r + -5) = 3r + -11 Reorder the terms: 4r + -2(-5 + r) = 3r + -11 4r + (-5 * -2 + r * -2) = 3r + -11 4r + (10 + -2r) = 3r + -11 Reorder the terms: 10 + 4r + -2r = 3r + -11 Combine like terms: 4r + -2r = 2r 10 + 2r = 3r + -11 Reorder the terms: 10 + 2r = -11 + 3r Solving 10 + 2r = -11 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 10 + 2r + -3r = -11 + 3r + -3r Combine like terms: 2r + -3r = -1r 10 + -1r = -11 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + -1r = -11 + 0 10 + -1r = -11 Add '-10' to each side of the equation. 10 + -10 + -1r = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = -11 + -10 -1r = -11 + -10 Combine like terms: -11 + -10 = -21 -1r = -21 Divide each side by '-1'. r = 21 Simplifying r = 21
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