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