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Simplifying 196 = -5n + 6(8 + 7n) 196 = -5n + (8 * 6 + 7n * 6) 196 = -5n + (48 + 42n) Reorder the terms: 196 = 48 + -5n + 42n Combine like terms: -5n + 42n = 37n 196 = 48 + 37n Solving 196 = 48 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. 196 + -37n = 48 + 37n + -37n Combine like terms: 37n + -37n = 0 196 + -37n = 48 + 0 196 + -37n = 48 Add '-196' to each side of the equation. 196 + -196 + -37n = 48 + -196 Combine like terms: 196 + -196 = 0 0 + -37n = 48 + -196 -37n = 48 + -196 Combine like terms: 48 + -196 = -148 -37n = -148 Divide each side by '-37'. n = 4 Simplifying n = 4
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