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Simplifying 7(-8n + 7) + 4 = -8n + -7(1 + 6n) Reorder the terms: 7(7 + -8n) + 4 = -8n + -7(1 + 6n) (7 * 7 + -8n * 7) + 4 = -8n + -7(1 + 6n) (49 + -56n) + 4 = -8n + -7(1 + 6n) Reorder the terms: 49 + 4 + -56n = -8n + -7(1 + 6n) Combine like terms: 49 + 4 = 53 53 + -56n = -8n + -7(1 + 6n) 53 + -56n = -8n + (1 * -7 + 6n * -7) 53 + -56n = -8n + (-7 + -42n) Reorder the terms: 53 + -56n = -7 + -8n + -42n Combine like terms: -8n + -42n = -50n 53 + -56n = -7 + -50n Solving 53 + -56n = -7 + -50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50n' to each side of the equation. 53 + -56n + 50n = -7 + -50n + 50n Combine like terms: -56n + 50n = -6n 53 + -6n = -7 + -50n + 50n Combine like terms: -50n + 50n = 0 53 + -6n = -7 + 0 53 + -6n = -7 Add '-53' to each side of the equation. 53 + -53 + -6n = -7 + -53 Combine like terms: 53 + -53 = 0 0 + -6n = -7 + -53 -6n = -7 + -53 Combine like terms: -7 + -53 = -60 -6n = -60 Divide each side by '-6'. n = 10 Simplifying n = 10
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