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Simplifying 2 + -7(3n + 2) = -5(4n + 2) Reorder the terms: 2 + -7(2 + 3n) = -5(4n + 2) 2 + (2 * -7 + 3n * -7) = -5(4n + 2) 2 + (-14 + -21n) = -5(4n + 2) Combine like terms: 2 + -14 = -12 -12 + -21n = -5(4n + 2) Reorder the terms: -12 + -21n = -5(2 + 4n) -12 + -21n = (2 * -5 + 4n * -5) -12 + -21n = (-10 + -20n) Solving -12 + -21n = -10 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -12 + -21n + 20n = -10 + -20n + 20n Combine like terms: -21n + 20n = -1n -12 + -1n = -10 + -20n + 20n Combine like terms: -20n + 20n = 0 -12 + -1n = -10 + 0 -12 + -1n = -10 Add '12' to each side of the equation. -12 + 12 + -1n = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = -10 + 12 -1n = -10 + 12 Combine like terms: -10 + 12 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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