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Simplifying -1(-18n + -72) = 10 + -1(-5 + n) Reorder the terms: -1(-72 + -18n) = 10 + -1(-5 + n) (-72 * -1 + -18n * -1) = 10 + -1(-5 + n) (72 + 18n) = 10 + -1(-5 + n) 72 + 18n = 10 + (-5 * -1 + n * -1) 72 + 18n = 10 + (5 + -1n) Combine like terms: 10 + 5 = 15 72 + 18n = 15 + -1n Solving 72 + 18n = 15 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 72 + 18n + n = 15 + -1n + n Combine like terms: 18n + n = 19n 72 + 19n = 15 + -1n + n Combine like terms: -1n + n = 0 72 + 19n = 15 + 0 72 + 19n = 15 Add '-72' to each side of the equation. 72 + -72 + 19n = 15 + -72 Combine like terms: 72 + -72 = 0 0 + 19n = 15 + -72 19n = 15 + -72 Combine like terms: 15 + -72 = -57 19n = -57 Divide each side by '19'. n = -3 Simplifying n = -3
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