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Simplifying -4n + -21 = -1(-6 + -1n) + -2 Reorder the terms: -21 + -4n = -1(-6 + -1n) + -2 -21 + -4n = (-6 * -1 + -1n * -1) + -2 -21 + -4n = (6 + 1n) + -2 Reorder the terms: -21 + -4n = 6 + -2 + 1n Combine like terms: 6 + -2 = 4 -21 + -4n = 4 + 1n Solving -21 + -4n = 4 + 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. -21 + -4n + -1n = 4 + 1n + -1n Combine like terms: -4n + -1n = -5n -21 + -5n = 4 + 1n + -1n Combine like terms: 1n + -1n = 0 -21 + -5n = 4 + 0 -21 + -5n = 4 Add '21' to each side of the equation. -21 + 21 + -5n = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = 4 + 21 -5n = 4 + 21 Combine like terms: 4 + 21 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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