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Simplifying -6n + -47 = 2n + 1 Reorder the terms: -47 + -6n = 2n + 1 Reorder the terms: -47 + -6n = 1 + 2n Solving -47 + -6n = 1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -47 + -6n + -2n = 1 + 2n + -2n Combine like terms: -6n + -2n = -8n -47 + -8n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -47 + -8n = 1 + 0 -47 + -8n = 1 Add '47' to each side of the equation. -47 + 47 + -8n = 1 + 47 Combine like terms: -47 + 47 = 0 0 + -8n = 1 + 47 -8n = 1 + 47 Combine like terms: 1 + 47 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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