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Simplifying -18 + -4n = -7(2n + -6) Reorder the terms: -18 + -4n = -7(-6 + 2n) -18 + -4n = (-6 * -7 + 2n * -7) -18 + -4n = (42 + -14n) Solving -18 + -4n = 42 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -18 + -4n + 14n = 42 + -14n + 14n Combine like terms: -4n + 14n = 10n -18 + 10n = 42 + -14n + 14n Combine like terms: -14n + 14n = 0 -18 + 10n = 42 + 0 -18 + 10n = 42 Add '18' to each side of the equation. -18 + 18 + 10n = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 10n = 42 + 18 10n = 42 + 18 Combine like terms: 42 + 18 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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