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Simplifying -6(n + 2) = 7 + -5n Reorder the terms: -6(2 + n) = 7 + -5n (2 * -6 + n * -6) = 7 + -5n (-12 + -6n) = 7 + -5n Solving -12 + -6n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -12 + -6n + 5n = 7 + -5n + 5n Combine like terms: -6n + 5n = -1n -12 + -1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 -12 + -1n = 7 + 0 -12 + -1n = 7 Add '12' to each side of the equation. -12 + 12 + -1n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = 7 + 12 -1n = 7 + 12 Combine like terms: 7 + 12 = 19 -1n = 19 Divide each side by '-1'. n = -19 Simplifying n = -19
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