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Simplifying -7n + 40 = -8(n + -6) Reorder the terms: 40 + -7n = -8(n + -6) Reorder the terms: 40 + -7n = -8(-6 + n) 40 + -7n = (-6 * -8 + n * -8) 40 + -7n = (48 + -8n) Solving 40 + -7n = 48 + -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. 40 + -7n + 8n = 48 + -8n + 8n Combine like terms: -7n + 8n = 1n 40 + 1n = 48 + -8n + 8n Combine like terms: -8n + 8n = 0 40 + 1n = 48 + 0 40 + 1n = 48 Add '-40' to each side of the equation. 40 + -40 + 1n = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 1n = 48 + -40 1n = 48 + -40 Combine like terms: 48 + -40 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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