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Simplifying 1 + -5n + -2 + -12 = -4n + -5 Reorder the terms: 1 + -2 + -12 + -5n = -4n + -5 Combine like terms: 1 + -2 = -1 -1 + -12 + -5n = -4n + -5 Combine like terms: -1 + -12 = -13 -13 + -5n = -4n + -5 Reorder the terms: -13 + -5n = -5 + -4n Solving -13 + -5n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -13 + -5n + 4n = -5 + -4n + 4n Combine like terms: -5n + 4n = -1n -13 + -1n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 -13 + -1n = -5 + 0 -13 + -1n = -5 Add '13' to each side of the equation. -13 + 13 + -1n = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -1n = -5 + 13 -1n = -5 + 13 Combine like terms: -5 + 13 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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