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Simplifying -78 = n + 4 + -15n + -12 Reorder the terms: -78 = 4 + -12 + n + -15n Combine like terms: 4 + -12 = -8 -78 = -8 + n + -15n Combine like terms: n + -15n = -14n -78 = -8 + -14n Solving -78 = -8 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -78 + 14n = -8 + -14n + 14n Combine like terms: -14n + 14n = 0 -78 + 14n = -8 + 0 -78 + 14n = -8 Add '78' to each side of the equation. -78 + 78 + 14n = -8 + 78 Combine like terms: -78 + 78 = 0 0 + 14n = -8 + 78 14n = -8 + 78 Combine like terms: -8 + 78 = 70 14n = 70 Divide each side by '14'. n = 5 Simplifying n = 5
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