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Simplifying -40 + n = 6(2n + 8) Reorder the terms: -40 + n = 6(8 + 2n) -40 + n = (8 * 6 + 2n * 6) -40 + n = (48 + 12n) Solving -40 + n = 48 + 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 + n + -12n = 48 + 12n + -12n Combine like terms: n + -12n = -11n -40 + -11n = 48 + 12n + -12n Combine like terms: 12n + -12n = 0 -40 + -11n = 48 + 0 -40 + -11n = 48 Add '40' to each side of the equation. -40 + 40 + -11n = 48 + 40 Combine like terms: -40 + 40 = 0 0 + -11n = 48 + 40 -11n = 48 + 40 Combine like terms: 48 + 40 = 88 -11n = 88 Divide each side by '-11'. n = -8 Simplifying n = -8
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