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Simplifying -96 = 5(1 + -7n) + 4 -96 = (1 * 5 + -7n * 5) + 4 -96 = (5 + -35n) + 4 Reorder the terms: -96 = 5 + 4 + -35n Combine like terms: 5 + 4 = 9 -96 = 9 + -35n Solving -96 = 9 + -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. -96 + 35n = 9 + -35n + 35n Combine like terms: -35n + 35n = 0 -96 + 35n = 9 + 0 -96 + 35n = 9 Add '96' to each side of the equation. -96 + 96 + 35n = 9 + 96 Combine like terms: -96 + 96 = 0 0 + 35n = 9 + 96 35n = 9 + 96 Combine like terms: 9 + 96 = 105 35n = 105 Divide each side by '35'. n = 3 Simplifying n = 3
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