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Simplifying 7 + 5(-4n + 6) = -38 + -5n Reorder the terms: 7 + 5(6 + -4n) = -38 + -5n 7 + (6 * 5 + -4n * 5) = -38 + -5n 7 + (30 + -20n) = -38 + -5n Combine like terms: 7 + 30 = 37 37 + -20n = -38 + -5n Solving 37 + -20n = -38 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 37 + -20n + 5n = -38 + -5n + 5n Combine like terms: -20n + 5n = -15n 37 + -15n = -38 + -5n + 5n Combine like terms: -5n + 5n = 0 37 + -15n = -38 + 0 37 + -15n = -38 Add '-37' to each side of the equation. 37 + -37 + -15n = -38 + -37 Combine like terms: 37 + -37 = 0 0 + -15n = -38 + -37 -15n = -38 + -37 Combine like terms: -38 + -37 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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