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Simplifying 7(8 + -2n) + -70 = -84 (8 * 7 + -2n * 7) + -70 = -84 (56 + -14n) + -70 = -84 Reorder the terms: 56 + -70 + -14n = -84 Combine like terms: 56 + -70 = -14 -14 + -14n = -84 Solving -14 + -14n = -84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -14n = -84 + 14 Combine like terms: -14 + 14 = 0 0 + -14n = -84 + 14 -14n = -84 + 14 Combine like terms: -84 + 14 = -70 -14n = -70 Divide each side by '-14'. n = 5 Simplifying n = 5
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