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Simplifying -1(n + 2) + -6n = -6n + -10 Reorder the terms: -1(2 + n) + -6n = -6n + -10 (2 * -1 + n * -1) + -6n = -6n + -10 (-2 + -1n) + -6n = -6n + -10 Combine like terms: -1n + -6n = -7n -2 + -7n = -6n + -10 Reorder the terms: -2 + -7n = -10 + -6n Solving -2 + -7n = -10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -2 + -7n + 6n = -10 + -6n + 6n Combine like terms: -7n + 6n = -1n -2 + -1n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 -2 + -1n = -10 + 0 -2 + -1n = -10 Add '2' to each side of the equation. -2 + 2 + -1n = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = -10 + 2 -1n = -10 + 2 Combine like terms: -10 + 2 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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