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Simplifying -21 + -6n = -1(n + -8) + 1 Reorder the terms: -21 + -6n = -1(-8 + n) + 1 -21 + -6n = (-8 * -1 + n * -1) + 1 -21 + -6n = (8 + -1n) + 1 Reorder the terms: -21 + -6n = 8 + 1 + -1n Combine like terms: 8 + 1 = 9 -21 + -6n = 9 + -1n Solving -21 + -6n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + -6n + n = 9 + -1n + n Combine like terms: -6n + n = -5n -21 + -5n = 9 + -1n + n Combine like terms: -1n + n = 0 -21 + -5n = 9 + 0 -21 + -5n = 9 Add '21' to each side of the equation. -21 + 21 + -5n = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = 9 + 21 -5n = 9 + 21 Combine like terms: 9 + 21 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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