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Simplifying 4(-11n + 10) = 6(-6 + -8n) Reorder the terms: 4(10 + -11n) = 6(-6 + -8n) (10 * 4 + -11n * 4) = 6(-6 + -8n) (40 + -44n) = 6(-6 + -8n) 40 + -44n = (-6 * 6 + -8n * 6) 40 + -44n = (-36 + -48n) Solving 40 + -44n = -36 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 40 + -44n + 48n = -36 + -48n + 48n Combine like terms: -44n + 48n = 4n 40 + 4n = -36 + -48n + 48n Combine like terms: -48n + 48n = 0 40 + 4n = -36 + 0 40 + 4n = -36 Add '-40' to each side of the equation. 40 + -40 + 4n = -36 + -40 Combine like terms: 40 + -40 = 0 0 + 4n = -36 + -40 4n = -36 + -40 Combine like terms: -36 + -40 = -76 4n = -76 Divide each side by '4'. n = -19 Simplifying n = -19
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