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Simplifying -6(8 + -3n) = 7(n + 1) (8 * -6 + -3n * -6) = 7(n + 1) (-48 + 18n) = 7(n + 1) Reorder the terms: -48 + 18n = 7(1 + n) -48 + 18n = (1 * 7 + n * 7) -48 + 18n = (7 + 7n) Solving -48 + 18n = 7 + 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. -48 + 18n + -7n = 7 + 7n + -7n Combine like terms: 18n + -7n = 11n -48 + 11n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -48 + 11n = 7 + 0 -48 + 11n = 7 Add '48' to each side of the equation. -48 + 48 + 11n = 7 + 48 Combine like terms: -48 + 48 = 0 0 + 11n = 7 + 48 11n = 7 + 48 Combine like terms: 7 + 48 = 55 11n = 55 Divide each side by '11'. n = 5 Simplifying n = 5
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