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Simplifying -24 + -4n = -7(6 + -2n) -24 + -4n = (6 * -7 + -2n * -7) -24 + -4n = (-42 + 14n) Solving -24 + -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. -24 + -4n + -14n = -42 + 14n + -14n Combine like terms: -4n + -14n = -18n -24 + -18n = -42 + 14n + -14n Combine like terms: 14n + -14n = 0 -24 + -18n = -42 + 0 -24 + -18n = -42 Add '24' to each side of the equation. -24 + 24 + -18n = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -18n = -42 + 24 -18n = -42 + 24 Combine like terms: -42 + 24 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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