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Simplifying 11 + -4r = -3(r + -5) Reorder the terms: 11 + -4r = -3(-5 + r) 11 + -4r = (-5 * -3 + r * -3) 11 + -4r = (15 + -3r) Solving 11 + -4r = 15 + -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. 11 + -4r + 3r = 15 + -3r + 3r Combine like terms: -4r + 3r = -1r 11 + -1r = 15 + -3r + 3r Combine like terms: -3r + 3r = 0 11 + -1r = 15 + 0 11 + -1r = 15 Add '-11' to each side of the equation. 11 + -11 + -1r = 15 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 15 + -11 -1r = 15 + -11 Combine like terms: 15 + -11 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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