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Simplifying 1 + -5n + 5n + -2 = 1 + n + -6 Reorder the terms: 1 + -2 + -5n + 5n = 1 + n + -6 Combine like terms: 1 + -2 = -1 -1 + -5n + 5n = 1 + n + -6 Combine like terms: -5n + 5n = 0 -1 + 0 = 1 + n + -6 -1 = 1 + n + -6 Reorder the terms: -1 = 1 + -6 + n Combine like terms: 1 + -6 = -5 -1 = -5 + n Solving -1 = -5 + 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. -1 + -1n = -5 + n + -1n Combine like terms: n + -1n = 0 -1 + -1n = -5 + 0 -1 + -1n = -5 Add '1' to each side of the equation. -1 + 1 + -1n = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = -5 + 1 -1n = -5 + 1 Combine like terms: -5 + 1 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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