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Simplifying -20 + -1 + -3 + 14 = -12 + -4n + 7 + 5n Combine like terms: -20 + -1 = -21 -21 + -3 + 14 = -12 + -4n + 7 + 5n Combine like terms: -21 + -3 = -24 -24 + 14 = -12 + -4n + 7 + 5n Combine like terms: -24 + 14 = -10 -10 = -12 + -4n + 7 + 5n Reorder the terms: -10 = -12 + 7 + -4n + 5n Combine like terms: -12 + 7 = -5 -10 = -5 + -4n + 5n Combine like terms: -4n + 5n = 1n -10 = -5 + 1n Solving -10 = -5 + 1n 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. -10 + -1n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 -10 + -1n = -5 + 0 -10 + -1n = -5 Add '10' to each side of the equation. -10 + 10 + -1n = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = -5 + 10 -1n = -5 + 10 Combine like terms: -5 + 10 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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