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Simplifying -5n + 6(n + -2) = -5 + -6n Reorder the terms: -5n + 6(-2 + n) = -5 + -6n -5n + (-2 * 6 + n * 6) = -5 + -6n -5n + (-12 + 6n) = -5 + -6n Reorder the terms: -12 + -5n + 6n = -5 + -6n Combine like terms: -5n + 6n = 1n -12 + 1n = -5 + -6n Solving -12 + 1n = -5 + -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. -12 + 1n + 6n = -5 + -6n + 6n Combine like terms: 1n + 6n = 7n -12 + 7n = -5 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 7n = -5 + 0 -12 + 7n = -5 Add '12' to each side of the equation. -12 + 12 + 7n = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = -5 + 12 7n = -5 + 12 Combine like terms: -5 + 12 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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