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