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Simplifying 5n + 5(n + -4) = -5n + 10 Reorder the terms: 5n + 5(-4 + n) = -5n + 10 5n + (-4 * 5 + n * 5) = -5n + 10 5n + (-20 + 5n) = -5n + 10 Reorder the terms: -20 + 5n + 5n = -5n + 10 Combine like terms: 5n + 5n = 10n -20 + 10n = -5n + 10 Reorder the terms: -20 + 10n = 10 + -5n Solving -20 + 10n = 10 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -20 + 10n + 5n = 10 + -5n + 5n Combine like terms: 10n + 5n = 15n -20 + 15n = 10 + -5n + 5n Combine like terms: -5n + 5n = 0 -20 + 15n = 10 + 0 -20 + 15n = 10 Add '20' to each side of the equation. -20 + 20 + 15n = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 15n = 10 + 20 15n = 10 + 20 Combine like terms: 10 + 20 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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