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Simplifying 412 = 4 + 8(-8n + -5) Reorder the terms: 412 = 4 + 8(-5 + -8n) 412 = 4 + (-5 * 8 + -8n * 8) 412 = 4 + (-40 + -64n) Combine like terms: 4 + -40 = -36 412 = -36 + -64n Solving 412 = -36 + -64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '64n' to each side of the equation. 412 + 64n = -36 + -64n + 64n Combine like terms: -64n + 64n = 0 412 + 64n = -36 + 0 412 + 64n = -36 Add '-412' to each side of the equation. 412 + -412 + 64n = -36 + -412 Combine like terms: 412 + -412 = 0 0 + 64n = -36 + -412 64n = -36 + -412 Combine like terms: -36 + -412 = -448 64n = -448 Divide each side by '64'. n = -7 Simplifying n = -7
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