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Simplifying -106 = -8 + 7(2n + -8) Reorder the terms: -106 = -8 + 7(-8 + 2n) -106 = -8 + (-8 * 7 + 2n * 7) -106 = -8 + (-56 + 14n) Combine like terms: -8 + -56 = -64 -106 = -64 + 14n Solving -106 = -64 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -106 + -14n = -64 + 14n + -14n Combine like terms: 14n + -14n = 0 -106 + -14n = -64 + 0 -106 + -14n = -64 Add '106' to each side of the equation. -106 + 106 + -14n = -64 + 106 Combine like terms: -106 + 106 = 0 0 + -14n = -64 + 106 -14n = -64 + 106 Combine like terms: -64 + 106 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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