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Simplifying 3n + 32 = -7(6 + -6n) + -4 Reorder the terms: 32 + 3n = -7(6 + -6n) + -4 32 + 3n = (6 * -7 + -6n * -7) + -4 32 + 3n = (-42 + 42n) + -4 Reorder the terms: 32 + 3n = -42 + -4 + 42n Combine like terms: -42 + -4 = -46 32 + 3n = -46 + 42n Solving 32 + 3n = -46 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 32 + 3n + -42n = -46 + 42n + -42n Combine like terms: 3n + -42n = -39n 32 + -39n = -46 + 42n + -42n Combine like terms: 42n + -42n = 0 32 + -39n = -46 + 0 32 + -39n = -46 Add '-32' to each side of the equation. 32 + -32 + -39n = -46 + -32 Combine like terms: 32 + -32 = 0 0 + -39n = -46 + -32 -39n = -46 + -32 Combine like terms: -46 + -32 = -78 -39n = -78 Divide each side by '-39'. n = 2 Simplifying n = 2
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