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Simplifying 5(n + -3) + 5(n + -5) = -49 Reorder the terms: 5(-3 + n) + 5(n + -5) = -49 (-3 * 5 + n * 5) + 5(n + -5) = -49 (-15 + 5n) + 5(n + -5) = -49 Reorder the terms: -15 + 5n + 5(-5 + n) = -49 -15 + 5n + (-5 * 5 + n * 5) = -49 -15 + 5n + (-25 + 5n) = -49 Reorder the terms: -15 + -25 + 5n + 5n = -49 Combine like terms: -15 + -25 = -40 -40 + 5n + 5n = -49 Combine like terms: 5n + 5n = 10n -40 + 10n = -49 Solving -40 + 10n = -49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10n = -49 + 40 Combine like terms: -40 + 40 = 0 0 + 10n = -49 + 40 10n = -49 + 40 Combine like terms: -49 + 40 = -9 10n = -9 Divide each side by '10'. n = -0.9 Simplifying n = -0.9
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