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Simplifying 6n + -42 = 4(n + -2) Reorder the terms: -42 + 6n = 4(n + -2) Reorder the terms: -42 + 6n = 4(-2 + n) -42 + 6n = (-2 * 4 + n * 4) -42 + 6n = (-8 + 4n) Solving -42 + 6n = -8 + 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. -42 + 6n + -4n = -8 + 4n + -4n Combine like terms: 6n + -4n = 2n -42 + 2n = -8 + 4n + -4n Combine like terms: 4n + -4n = 0 -42 + 2n = -8 + 0 -42 + 2n = -8 Add '42' to each side of the equation. -42 + 42 + 2n = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 2n = -8 + 42 2n = -8 + 42 Combine like terms: -8 + 42 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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