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Simplifying -12 = -3(5n + -6) Reorder the terms: -12 = -3(-6 + 5n) -12 = (-6 * -3 + 5n * -3) -12 = (18 + -15n) Solving -12 = 18 + -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. -12 + 15n = 18 + -15n + 15n Combine like terms: -15n + 15n = 0 -12 + 15n = 18 + 0 -12 + 15n = 18 Add '12' to each side of the equation. -12 + 12 + 15n = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 15n = 18 + 12 15n = 18 + 12 Combine like terms: 18 + 12 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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