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Simplifying 10(-8n + 4) = 8n + -7(11n + -12) Reorder the terms: 10(4 + -8n) = 8n + -7(11n + -12) (4 * 10 + -8n * 10) = 8n + -7(11n + -12) (40 + -80n) = 8n + -7(11n + -12) Reorder the terms: 40 + -80n = 8n + -7(-12 + 11n) 40 + -80n = 8n + (-12 * -7 + 11n * -7) 40 + -80n = 8n + (84 + -77n) Reorder the terms: 40 + -80n = 84 + 8n + -77n Combine like terms: 8n + -77n = -69n 40 + -80n = 84 + -69n Solving 40 + -80n = 84 + -69n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '69n' to each side of the equation. 40 + -80n + 69n = 84 + -69n + 69n Combine like terms: -80n + 69n = -11n 40 + -11n = 84 + -69n + 69n Combine like terms: -69n + 69n = 0 40 + -11n = 84 + 0 40 + -11n = 84 Add '-40' to each side of the equation. 40 + -40 + -11n = 84 + -40 Combine like terms: 40 + -40 = 0 0 + -11n = 84 + -40 -11n = 84 + -40 Combine like terms: 84 + -40 = 44 -11n = 44 Divide each side by '-11'. n = -4 Simplifying n = -4
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