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Simplifying 6(n + -5) + 4 = 2(n + -3) Reorder the terms: 6(-5 + n) + 4 = 2(n + -3) (-5 * 6 + n * 6) + 4 = 2(n + -3) (-30 + 6n) + 4 = 2(n + -3) Reorder the terms: -30 + 4 + 6n = 2(n + -3) Combine like terms: -30 + 4 = -26 -26 + 6n = 2(n + -3) Reorder the terms: -26 + 6n = 2(-3 + n) -26 + 6n = (-3 * 2 + n * 2) -26 + 6n = (-6 + 2n) Solving -26 + 6n = -6 + 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. -26 + 6n + -2n = -6 + 2n + -2n Combine like terms: 6n + -2n = 4n -26 + 4n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 -26 + 4n = -6 + 0 -26 + 4n = -6 Add '26' to each side of the equation. -26 + 26 + 4n = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 4n = -6 + 26 4n = -6 + 26 Combine like terms: -6 + 26 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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