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Simplifying 2(n + -1) + -6n = 5(n + -4) Reorder the terms: 2(-1 + n) + -6n = 5(n + -4) (-1 * 2 + n * 2) + -6n = 5(n + -4) (-2 + 2n) + -6n = 5(n + -4) Combine like terms: 2n + -6n = -4n -2 + -4n = 5(n + -4) Reorder the terms: -2 + -4n = 5(-4 + n) -2 + -4n = (-4 * 5 + n * 5) -2 + -4n = (-20 + 5n) Solving -2 + -4n = -20 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + -4n + -5n = -20 + 5n + -5n Combine like terms: -4n + -5n = -9n -2 + -9n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + -9n = -20 + 0 -2 + -9n = -20 Add '2' to each side of the equation. -2 + 2 + -9n = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = -20 + 2 -9n = -20 + 2 Combine like terms: -20 + 2 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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