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Simplifying (n + -7) * 10 = 40 Reorder the terms: (-7 + n) * 10 = 40 Reorder the terms for easier multiplication: 10(-7 + n) = 40 (-7 * 10 + n * 10) = 40 (-70 + 10n) = 40 Solving -70 + 10n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 10n = 40 + 70 Combine like terms: -70 + 70 = 0 0 + 10n = 40 + 70 10n = 40 + 70 Combine like terms: 40 + 70 = 110 10n = 110 Divide each side by '10'. n = 11 Simplifying n = 11
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