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Simplifying 2n + -34 = 4(n + -5) Reorder the terms: -34 + 2n = 4(n + -5) Reorder the terms: -34 + 2n = 4(-5 + n) -34 + 2n = (-5 * 4 + n * 4) -34 + 2n = (-20 + 4n) Solving -34 + 2n = -20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -34 + 2n + -4n = -20 + 4n + -4n Combine like terms: 2n + -4n = -2n -34 + -2n = -20 + 4n + -4n Combine like terms: 4n + -4n = 0 -34 + -2n = -20 + 0 -34 + -2n = -20 Add '34' to each side of the equation. -34 + 34 + -2n = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -2n = -20 + 34 -2n = -20 + 34 Combine like terms: -20 + 34 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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