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Simplifying 10 + 3(2 + -5n) = -5(n + -2) + 6 10 + (2 * 3 + -5n * 3) = -5(n + -2) + 6 10 + (6 + -15n) = -5(n + -2) + 6 Combine like terms: 10 + 6 = 16 16 + -15n = -5(n + -2) + 6 Reorder the terms: 16 + -15n = -5(-2 + n) + 6 16 + -15n = (-2 * -5 + n * -5) + 6 16 + -15n = (10 + -5n) + 6 Reorder the terms: 16 + -15n = 10 + 6 + -5n Combine like terms: 10 + 6 = 16 16 + -15n = 16 + -5n Add '-16' to each side of the equation. 16 + -16 + -15n = 16 + -16 + -5n Combine like terms: 16 + -16 = 0 0 + -15n = 16 + -16 + -5n -15n = 16 + -16 + -5n Combine like terms: 16 + -16 = 0 -15n = 0 + -5n -15n = -5n Solving -15n = -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. -15n + 5n = -5n + 5n Combine like terms: -15n + 5n = -10n -10n = -5n + 5n Combine like terms: -5n + 5n = 0 -10n = 0 Divide each side by '-10'. n = 0.0 Simplifying n = 0.0
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