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Simplifying 7(x + 8) + 5n = 152 Reorder the terms: 7(8 + x) + 5n = 152 (8 * 7 + x * 7) + 5n = 152 (56 + 7x) + 5n = 152 Reorder the terms: 56 + 5n + 7x = 152 Solving 56 + 5n + 7x = 152 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + 5n + -56 + 7x = 152 + -56 Reorder the terms: 56 + -56 + 5n + 7x = 152 + -56 Combine like terms: 56 + -56 = 0 0 + 5n + 7x = 152 + -56 5n + 7x = 152 + -56 Combine like terms: 152 + -56 = 96 5n + 7x = 96 Add '-7x' to each side of the equation. 5n + 7x + -7x = 96 + -7x Combine like terms: 7x + -7x = 0 5n + 0 = 96 + -7x 5n = 96 + -7x Divide each side by '5'. n = 19.2 + -1.4x Simplifying n = 19.2 + -1.4x
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