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Simplifying 7(n + -3) = 5(n + -4) Reorder the terms: 7(-3 + n) = 5(n + -4) (-3 * 7 + n * 7) = 5(n + -4) (-21 + 7n) = 5(n + -4) Reorder the terms: -21 + 7n = 5(-4 + n) -21 + 7n = (-4 * 5 + n * 5) -21 + 7n = (-20 + 5n) Solving -21 + 7n = -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. -21 + 7n + -5n = -20 + 5n + -5n Combine like terms: 7n + -5n = 2n -21 + 2n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + 2n = -20 + 0 -21 + 2n = -20 Add '21' to each side of the equation. -21 + 21 + 2n = -20 + 21 Combine like terms: -21 + 21 = 0 0 + 2n = -20 + 21 2n = -20 + 21 Combine like terms: -20 + 21 = 1 2n = 1 Divide each side by '2'. n = 0.5 Simplifying n = 0.5
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