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Simplifying 3 + -4(n + 6) = 15 + 7(2n + -6) Reorder the terms: 3 + -4(6 + n) = 15 + 7(2n + -6) 3 + (6 * -4 + n * -4) = 15 + 7(2n + -6) 3 + (-24 + -4n) = 15 + 7(2n + -6) Combine like terms: 3 + -24 = -21 -21 + -4n = 15 + 7(2n + -6) Reorder the terms: -21 + -4n = 15 + 7(-6 + 2n) -21 + -4n = 15 + (-6 * 7 + 2n * 7) -21 + -4n = 15 + (-42 + 14n) Combine like terms: 15 + -42 = -27 -21 + -4n = -27 + 14n Solving -21 + -4n = -27 + 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. -21 + -4n + -14n = -27 + 14n + -14n Combine like terms: -4n + -14n = -18n -21 + -18n = -27 + 14n + -14n Combine like terms: 14n + -14n = 0 -21 + -18n = -27 + 0 -21 + -18n = -27 Add '21' to each side of the equation. -21 + 21 + -18n = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -18n = -27 + 21 -18n = -27 + 21 Combine like terms: -27 + 21 = -6 -18n = -6 Divide each side by '-18'. n = 0.3333333333 Simplifying n = 0.3333333333
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