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Simplifying -105 = -6n + -3(-5 + -7n) -105 = -6n + (-5 * -3 + -7n * -3) -105 = -6n + (15 + 21n) Reorder the terms: -105 = 15 + -6n + 21n Combine like terms: -6n + 21n = 15n -105 = 15 + 15n Solving -105 = 15 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -105 + -15n = 15 + 15n + -15n Combine like terms: 15n + -15n = 0 -105 + -15n = 15 + 0 -105 + -15n = 15 Add '105' to each side of the equation. -105 + 105 + -15n = 15 + 105 Combine like terms: -105 + 105 = 0 0 + -15n = 15 + 105 -15n = 15 + 105 Combine like terms: 15 + 105 = 120 -15n = 120 Divide each side by '-15'. n = -8 Simplifying n = -8
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