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Simplifying -4(r + -5) + -11 = -9r + -1(-6r + -9) Reorder the terms: -4(-5 + r) + -11 = -9r + -1(-6r + -9) (-5 * -4 + r * -4) + -11 = -9r + -1(-6r + -9) (20 + -4r) + -11 = -9r + -1(-6r + -9) Reorder the terms: 20 + -11 + -4r = -9r + -1(-6r + -9) Combine like terms: 20 + -11 = 9 9 + -4r = -9r + -1(-6r + -9) Reorder the terms: 9 + -4r = -9r + -1(-9 + -6r) 9 + -4r = -9r + (-9 * -1 + -6r * -1) 9 + -4r = -9r + (9 + 6r) Reorder the terms: 9 + -4r = 9 + -9r + 6r Combine like terms: -9r + 6r = -3r 9 + -4r = 9 + -3r Add '-9' to each side of the equation. 9 + -9 + -4r = 9 + -9 + -3r Combine like terms: 9 + -9 = 0 0 + -4r = 9 + -9 + -3r -4r = 9 + -9 + -3r Combine like terms: 9 + -9 = 0 -4r = 0 + -3r -4r = -3r Solving -4r = -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. -4r + 3r = -3r + 3r Combine like terms: -4r + 3r = -1r -1r = -3r + 3r Combine like terms: -3r + 3r = 0 -1r = 0 Divide each side by '-1'. r = 0 Simplifying r = 0
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