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Simplifying -1n + -2 = 8 + 3(3n + -5) Reorder the terms: -2 + -1n = 8 + 3(3n + -5) Reorder the terms: -2 + -1n = 8 + 3(-5 + 3n) -2 + -1n = 8 + (-5 * 3 + 3n * 3) -2 + -1n = 8 + (-15 + 9n) Combine like terms: 8 + -15 = -7 -2 + -1n = -7 + 9n Solving -2 + -1n = -7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -2 + -1n + -9n = -7 + 9n + -9n Combine like terms: -1n + -9n = -10n -2 + -10n = -7 + 9n + -9n Combine like terms: 9n + -9n = 0 -2 + -10n = -7 + 0 -2 + -10n = -7 Add '2' to each side of the equation. -2 + 2 + -10n = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -10n = -7 + 2 -10n = -7 + 2 Combine like terms: -7 + 2 = -5 -10n = -5 Divide each side by '-10'. n = 0.5 Simplifying n = 0.5
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