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Simplifying 43 + -7n = -5(-8n + 7) + -8n Reorder the terms: 43 + -7n = -5(7 + -8n) + -8n 43 + -7n = (7 * -5 + -8n * -5) + -8n 43 + -7n = (-35 + 40n) + -8n Combine like terms: 40n + -8n = 32n 43 + -7n = -35 + 32n Solving 43 + -7n = -35 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 43 + -7n + -32n = -35 + 32n + -32n Combine like terms: -7n + -32n = -39n 43 + -39n = -35 + 32n + -32n Combine like terms: 32n + -32n = 0 43 + -39n = -35 + 0 43 + -39n = -35 Add '-43' to each side of the equation. 43 + -43 + -39n = -35 + -43 Combine like terms: 43 + -43 = 0 0 + -39n = -35 + -43 -39n = -35 + -43 Combine like terms: -35 + -43 = -78 -39n = -78 Divide each side by '-39'. n = 2 Simplifying n = 2
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