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Simplifying 24 = 5(-2 + -7n) + -1 24 = (-2 * 5 + -7n * 5) + -1 24 = (-10 + -35n) + -1 Reorder the terms: 24 = -10 + -1 + -35n Combine like terms: -10 + -1 = -11 24 = -11 + -35n Solving 24 = -11 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 24 + 35n = -11 + -35n + 35n Combine like terms: -35n + 35n = 0 24 + 35n = -11 + 0 24 + 35n = -11 Add '-24' to each side of the equation. 24 + -24 + 35n = -11 + -24 Combine like terms: 24 + -24 = 0 0 + 35n = -11 + -24 35n = -11 + -24 Combine like terms: -11 + -24 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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