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Simplifying 7n + -6(8n + -7) = 5 + -4n Reorder the terms: 7n + -6(-7 + 8n) = 5 + -4n 7n + (-7 * -6 + 8n * -6) = 5 + -4n 7n + (42 + -48n) = 5 + -4n Reorder the terms: 42 + 7n + -48n = 5 + -4n Combine like terms: 7n + -48n = -41n 42 + -41n = 5 + -4n Solving 42 + -41n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 42 + -41n + 4n = 5 + -4n + 4n Combine like terms: -41n + 4n = -37n 42 + -37n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 42 + -37n = 5 + 0 42 + -37n = 5 Add '-42' to each side of the equation. 42 + -42 + -37n = 5 + -42 Combine like terms: 42 + -42 = 0 0 + -37n = 5 + -42 -37n = 5 + -42 Combine like terms: 5 + -42 = -37 -37n = -37 Divide each side by '-37'. n = 1 Simplifying n = 1
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