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Simplifying 6n + -40 = 2(6n + -5) Reorder the terms: -40 + 6n = 2(6n + -5) Reorder the terms: -40 + 6n = 2(-5 + 6n) -40 + 6n = (-5 * 2 + 6n * 2) -40 + 6n = (-10 + 12n) Solving -40 + 6n = -10 + 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 + 6n + -12n = -10 + 12n + -12n Combine like terms: 6n + -12n = -6n -40 + -6n = -10 + 12n + -12n Combine like terms: 12n + -12n = 0 -40 + -6n = -10 + 0 -40 + -6n = -10 Add '40' to each side of the equation. -40 + 40 + -6n = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -6n = -10 + 40 -6n = -10 + 40 Combine like terms: -10 + 40 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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