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Simplifying -34 + -2n = -4 + -4(3n + -5) Reorder the terms: -34 + -2n = -4 + -4(-5 + 3n) -34 + -2n = -4 + (-5 * -4 + 3n * -4) -34 + -2n = -4 + (20 + -12n) Combine like terms: -4 + 20 = 16 -34 + -2n = 16 + -12n Solving -34 + -2n = 16 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -34 + -2n + 12n = 16 + -12n + 12n Combine like terms: -2n + 12n = 10n -34 + 10n = 16 + -12n + 12n Combine like terms: -12n + 12n = 0 -34 + 10n = 16 + 0 -34 + 10n = 16 Add '34' to each side of the equation. -34 + 34 + 10n = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 10n = 16 + 34 10n = 16 + 34 Combine like terms: 16 + 34 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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