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Simplifying -106 = 5n + -8(8 + -2n) -106 = 5n + (8 * -8 + -2n * -8) -106 = 5n + (-64 + 16n) Reorder the terms: -106 = -64 + 5n + 16n Combine like terms: 5n + 16n = 21n -106 = -64 + 21n Solving -106 = -64 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -106 + -21n = -64 + 21n + -21n Combine like terms: 21n + -21n = 0 -106 + -21n = -64 + 0 -106 + -21n = -64 Add '106' to each side of the equation. -106 + 106 + -21n = -64 + 106 Combine like terms: -106 + 106 = 0 0 + -21n = -64 + 106 -21n = -64 + 106 Combine like terms: -64 + 106 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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