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Simplifying 6(n + -2) + -6 = 5n + -5(n + -6) Reorder the terms: 6(-2 + n) + -6 = 5n + -5(n + -6) (-2 * 6 + n * 6) + -6 = 5n + -5(n + -6) (-12 + 6n) + -6 = 5n + -5(n + -6) Reorder the terms: -12 + -6 + 6n = 5n + -5(n + -6) Combine like terms: -12 + -6 = -18 -18 + 6n = 5n + -5(n + -6) Reorder the terms: -18 + 6n = 5n + -5(-6 + n) -18 + 6n = 5n + (-6 * -5 + n * -5) -18 + 6n = 5n + (30 + -5n) Reorder the terms: -18 + 6n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + 6n = 30 + 0 -18 + 6n = 30 Solving -18 + 6n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6n = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 6n = 30 + 18 6n = 30 + 18 Combine like terms: 30 + 18 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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