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Simplifying 3(n + -2) + -4(5n + 2) = 3n + -84 Reorder the terms: 3(-2 + n) + -4(5n + 2) = 3n + -84 (-2 * 3 + n * 3) + -4(5n + 2) = 3n + -84 (-6 + 3n) + -4(5n + 2) = 3n + -84 Reorder the terms: -6 + 3n + -4(2 + 5n) = 3n + -84 -6 + 3n + (2 * -4 + 5n * -4) = 3n + -84 -6 + 3n + (-8 + -20n) = 3n + -84 Reorder the terms: -6 + -8 + 3n + -20n = 3n + -84 Combine like terms: -6 + -8 = -14 -14 + 3n + -20n = 3n + -84 Combine like terms: 3n + -20n = -17n -14 + -17n = 3n + -84 Reorder the terms: -14 + -17n = -84 + 3n Solving -14 + -17n = -84 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -14 + -17n + -3n = -84 + 3n + -3n Combine like terms: -17n + -3n = -20n -14 + -20n = -84 + 3n + -3n Combine like terms: 3n + -3n = 0 -14 + -20n = -84 + 0 -14 + -20n = -84 Add '14' to each side of the equation. -14 + 14 + -20n = -84 + 14 Combine like terms: -14 + 14 = 0 0 + -20n = -84 + 14 -20n = -84 + 14 Combine like terms: -84 + 14 = -70 -20n = -70 Divide each side by '-20'. n = 3.5 Simplifying n = 3.5
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