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Simplifying -5 + 7(-1n + -6) = -31 + n Reorder the terms: -5 + 7(-6 + -1n) = -31 + n -5 + (-6 * 7 + -1n * 7) = -31 + n -5 + (-42 + -7n) = -31 + n Combine like terms: -5 + -42 = -47 -47 + -7n = -31 + n Solving -47 + -7n = -31 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -47 + -7n + -1n = -31 + n + -1n Combine like terms: -7n + -1n = -8n -47 + -8n = -31 + n + -1n Combine like terms: n + -1n = 0 -47 + -8n = -31 + 0 -47 + -8n = -31 Add '47' to each side of the equation. -47 + 47 + -8n = -31 + 47 Combine like terms: -47 + 47 = 0 0 + -8n = -31 + 47 -8n = -31 + 47 Combine like terms: -31 + 47 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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