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Simplifying -30 = -6(3n + -7) Reorder the terms: -30 = -6(-7 + 3n) -30 = (-7 * -6 + 3n * -6) -30 = (42 + -18n) Solving -30 = 42 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -30 + 18n = 42 + -18n + 18n Combine like terms: -18n + 18n = 0 -30 + 18n = 42 + 0 -30 + 18n = 42 Add '30' to each side of the equation. -30 + 30 + 18n = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 18n = 42 + 30 18n = 42 + 30 Combine like terms: 42 + 30 = 72 18n = 72 Divide each side by '18'. n = 4 Simplifying n = 4
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