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Simplifying 5(n + 5) = -89 + -7(n + -6) Reorder the terms: 5(5 + n) = -89 + -7(n + -6) (5 * 5 + n * 5) = -89 + -7(n + -6) (25 + 5n) = -89 + -7(n + -6) Reorder the terms: 25 + 5n = -89 + -7(-6 + n) 25 + 5n = -89 + (-6 * -7 + n * -7) 25 + 5n = -89 + (42 + -7n) Combine like terms: -89 + 42 = -47 25 + 5n = -47 + -7n Solving 25 + 5n = -47 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 25 + 5n + 7n = -47 + -7n + 7n Combine like terms: 5n + 7n = 12n 25 + 12n = -47 + -7n + 7n Combine like terms: -7n + 7n = 0 25 + 12n = -47 + 0 25 + 12n = -47 Add '-25' to each side of the equation. 25 + -25 + 12n = -47 + -25 Combine like terms: 25 + -25 = 0 0 + 12n = -47 + -25 12n = -47 + -25 Combine like terms: -47 + -25 = -72 12n = -72 Divide each side by '12'. n = -6 Simplifying n = -6
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