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Simplifying -8(n + -6) = 5 + -7n Reorder the terms: -8(-6 + n) = 5 + -7n (-6 * -8 + n * -8) = 5 + -7n (48 + -8n) = 5 + -7n Solving 48 + -8n = 5 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 48 + -8n + 7n = 5 + -7n + 7n Combine like terms: -8n + 7n = -1n 48 + -1n = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 48 + -1n = 5 + 0 48 + -1n = 5 Add '-48' to each side of the equation. 48 + -48 + -1n = 5 + -48 Combine like terms: 48 + -48 = 0 0 + -1n = 5 + -48 -1n = 5 + -48 Combine like terms: 5 + -48 = -43 -1n = -43 Divide each side by '-1'. n = 43 Simplifying n = 43
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