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Simplifying -8 = 12 + n + -5 Reorder the terms: -8 = 12 + -5 + n Combine like terms: 12 + -5 = 7 -8 = 7 + n Solving -8 = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -8 + -1n = 7 + n + -1n Combine like terms: n + -1n = 0 -8 + -1n = 7 + 0 -8 + -1n = 7 Add '8' to each side of the equation. -8 + 8 + -1n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 7 + 8 -1n = 7 + 8 Combine like terms: 7 + 8 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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