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Simplifying 6 + 4(6 + -4n) = -40 + -2n 6 + (6 * 4 + -4n * 4) = -40 + -2n 6 + (24 + -16n) = -40 + -2n Combine like terms: 6 + 24 = 30 30 + -16n = -40 + -2n Solving 30 + -16n = -40 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 30 + -16n + 2n = -40 + -2n + 2n Combine like terms: -16n + 2n = -14n 30 + -14n = -40 + -2n + 2n Combine like terms: -2n + 2n = 0 30 + -14n = -40 + 0 30 + -14n = -40 Add '-30' to each side of the equation. 30 + -30 + -14n = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -14n = -40 + -30 -14n = -40 + -30 Combine like terms: -40 + -30 = -70 -14n = -70 Divide each side by '-14'. n = 5 Simplifying n = 5
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