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Simplifying 4(r + -8) = 11(r + -6) Reorder the terms: 4(-8 + r) = 11(r + -6) (-8 * 4 + r * 4) = 11(r + -6) (-32 + 4r) = 11(r + -6) Reorder the terms: -32 + 4r = 11(-6 + r) -32 + 4r = (-6 * 11 + r * 11) -32 + 4r = (-66 + 11r) Solving -32 + 4r = -66 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -32 + 4r + -11r = -66 + 11r + -11r Combine like terms: 4r + -11r = -7r -32 + -7r = -66 + 11r + -11r Combine like terms: 11r + -11r = 0 -32 + -7r = -66 + 0 -32 + -7r = -66 Add '32' to each side of the equation. -32 + 32 + -7r = -66 + 32 Combine like terms: -32 + 32 = 0 0 + -7r = -66 + 32 -7r = -66 + 32 Combine like terms: -66 + 32 = -34 -7r = -34 Divide each side by '-7'. r = 4.857142857 Simplifying r = 4.857142857
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