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Simplifying -6(n + -7) = 40 + -4n Reorder the terms: -6(-7 + n) = 40 + -4n (-7 * -6 + n * -6) = 40 + -4n (42 + -6n) = 40 + -4n Solving 42 + -6n = 40 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 42 + -6n + 4n = 40 + -4n + 4n Combine like terms: -6n + 4n = -2n 42 + -2n = 40 + -4n + 4n Combine like terms: -4n + 4n = 0 42 + -2n = 40 + 0 42 + -2n = 40 Add '-42' to each side of the equation. 42 + -42 + -2n = 40 + -42 Combine like terms: 42 + -42 = 0 0 + -2n = 40 + -42 -2n = 40 + -42 Combine like terms: 40 + -42 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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