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Simplifying 7n + -16 = 4n + 5(n + -4) Reorder the terms: -16 + 7n = 4n + 5(n + -4) Reorder the terms: -16 + 7n = 4n + 5(-4 + n) -16 + 7n = 4n + (-4 * 5 + n * 5) -16 + 7n = 4n + (-20 + 5n) Reorder the terms: -16 + 7n = -20 + 4n + 5n Combine like terms: 4n + 5n = 9n -16 + 7n = -20 + 9n Solving -16 + 7n = -20 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -16 + 7n + -9n = -20 + 9n + -9n Combine like terms: 7n + -9n = -2n -16 + -2n = -20 + 9n + -9n Combine like terms: 9n + -9n = 0 -16 + -2n = -20 + 0 -16 + -2n = -20 Add '16' to each side of the equation. -16 + 16 + -2n = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2n = -20 + 16 -2n = -20 + 16 Combine like terms: -20 + 16 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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