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Simplifying -47 = 2(n + 3) + -1(-6n + 5) Reorder the terms: -47 = 2(3 + n) + -1(-6n + 5) -47 = (3 * 2 + n * 2) + -1(-6n + 5) -47 = (6 + 2n) + -1(-6n + 5) Reorder the terms: -47 = 6 + 2n + -1(5 + -6n) -47 = 6 + 2n + (5 * -1 + -6n * -1) -47 = 6 + 2n + (-5 + 6n) Reorder the terms: -47 = 6 + -5 + 2n + 6n Combine like terms: 6 + -5 = 1 -47 = 1 + 2n + 6n Combine like terms: 2n + 6n = 8n -47 = 1 + 8n Solving -47 = 1 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -47 + -8n = 1 + 8n + -8n Combine like terms: 8n + -8n = 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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