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Simplifying -2n + -40 = 5(6 + n) + 7n Reorder the terms: -40 + -2n = 5(6 + n) + 7n -40 + -2n = (6 * 5 + n * 5) + 7n -40 + -2n = (30 + 5n) + 7n Combine like terms: 5n + 7n = 12n -40 + -2n = 30 + 12n Solving -40 + -2n = 30 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -40 + -2n + -12n = 30 + 12n + -12n Combine like terms: -2n + -12n = -14n -40 + -14n = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 -40 + -14n = 30 + 0 -40 + -14n = 30 Add '40' to each side of the equation. -40 + 40 + -14n = 30 + 40 Combine like terms: -40 + 40 = 0 0 + -14n = 30 + 40 -14n = 30 + 40 Combine like terms: 30 + 40 = 70 -14n = 70 Divide each side by '-14'. n = -5 Simplifying n = -5
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