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Simplifying -66 = 5(n + -6) + -6 Reorder the terms: -66 = 5(-6 + n) + -6 -66 = (-6 * 5 + n * 5) + -6 -66 = (-30 + 5n) + -6 Reorder the terms: -66 = -30 + -6 + 5n Combine like terms: -30 + -6 = -36 -66 = -36 + 5n Solving -66 = -36 + 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. -66 + -5n = -36 + 5n + -5n Combine like terms: 5n + -5n = 0 -66 + -5n = -36 + 0 -66 + -5n = -36 Add '66' to each side of the equation. -66 + 66 + -5n = -36 + 66 Combine like terms: -66 + 66 = 0 0 + -5n = -36 + 66 -5n = -36 + 66 Combine like terms: -36 + 66 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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