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Simplifying -7n + -6(n + 5) = -6n + 12 Reorder the terms: -7n + -6(5 + n) = -6n + 12 -7n + (5 * -6 + n * -6) = -6n + 12 -7n + (-30 + -6n) = -6n + 12 Reorder the terms: -30 + -7n + -6n = -6n + 12 Combine like terms: -7n + -6n = -13n -30 + -13n = -6n + 12 Reorder the terms: -30 + -13n = 12 + -6n Solving -30 + -13n = 12 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -30 + -13n + 6n = 12 + -6n + 6n Combine like terms: -13n + 6n = -7n -30 + -7n = 12 + -6n + 6n Combine like terms: -6n + 6n = 0 -30 + -7n = 12 + 0 -30 + -7n = 12 Add '30' to each side of the equation. -30 + 30 + -7n = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -7n = 12 + 30 -7n = 12 + 30 Combine like terms: 12 + 30 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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