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Simplifying 8(6n + 4) = -10 + 6n Reorder the terms: 8(4 + 6n) = -10 + 6n (4 * 8 + 6n * 8) = -10 + 6n (32 + 48n) = -10 + 6n Solving 32 + 48n = -10 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 32 + 48n + -6n = -10 + 6n + -6n Combine like terms: 48n + -6n = 42n 32 + 42n = -10 + 6n + -6n Combine like terms: 6n + -6n = 0 32 + 42n = -10 + 0 32 + 42n = -10 Add '-32' to each side of the equation. 32 + -32 + 42n = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 42n = -10 + -32 42n = -10 + -32 Combine like terms: -10 + -32 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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