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Simplifying -106 = 6 + -7(n + 8) Reorder the terms: -106 = 6 + -7(8 + n) -106 = 6 + (8 * -7 + n * -7) -106 = 6 + (-56 + -7n) Combine like terms: 6 + -56 = -50 -106 = -50 + -7n Solving -106 = -50 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -106 + 7n = -50 + -7n + 7n Combine like terms: -7n + 7n = 0 -106 + 7n = -50 + 0 -106 + 7n = -50 Add '106' to each side of the equation. -106 + 106 + 7n = -50 + 106 Combine like terms: -106 + 106 = 0 0 + 7n = -50 + 106 7n = -50 + 106 Combine like terms: -50 + 106 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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