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Simplifying 5(n + -2) = 0.6(5 + 10n) Reorder the terms: 5(-2 + n) = 0.6(5 + 10n) (-2 * 5 + n * 5) = 0.6(5 + 10n) (-10 + 5n) = 0.6(5 + 10n) -10 + 5n = (5 * 0.6 + 10n * 0.6) -10 + 5n = (3 + 6n) Solving -10 + 5n = 3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -10 + 5n + -6n = 3 + 6n + -6n Combine like terms: 5n + -6n = -1n -10 + -1n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -1n = 3 + 0 -10 + -1n = 3 Add '10' to each side of the equation. -10 + 10 + -1n = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 3 + 10 -1n = 3 + 10 Combine like terms: 3 + 10 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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