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Simplifying -36 + -3n = -6n + -6(1 + -3n) -36 + -3n = -6n + (1 * -6 + -3n * -6) -36 + -3n = -6n + (-6 + 18n) Reorder the terms: -36 + -3n = -6 + -6n + 18n Combine like terms: -6n + 18n = 12n -36 + -3n = -6 + 12n Solving -36 + -3n = -6 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -36 + -3n + -12n = -6 + 12n + -12n Combine like terms: -3n + -12n = -15n -36 + -15n = -6 + 12n + -12n Combine like terms: 12n + -12n = 0 -36 + -15n = -6 + 0 -36 + -15n = -6 Add '36' to each side of the equation. -36 + 36 + -15n = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -15n = -6 + 36 -15n = -6 + 36 Combine like terms: -6 + 36 = 30 -15n = 30 Divide each side by '-15'. n = -2 Simplifying n = -2
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