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Simplifying -6 + 3n = -7(n + 8) Reorder the terms: -6 + 3n = -7(8 + n) -6 + 3n = (8 * -7 + n * -7) -6 + 3n = (-56 + -7n) Solving -6 + 3n = -56 + -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. -6 + 3n + 7n = -56 + -7n + 7n Combine like terms: 3n + 7n = 10n -6 + 10n = -56 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + 10n = -56 + 0 -6 + 10n = -56 Add '6' to each side of the equation. -6 + 6 + 10n = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 10n = -56 + 6 10n = -56 + 6 Combine like terms: -56 + 6 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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