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Simplifying 1 + -5n = -7 + 4(2 + 6n) 1 + -5n = -7 + (2 * 4 + 6n * 4) 1 + -5n = -7 + (8 + 24n) Combine like terms: -7 + 8 = 1 1 + -5n = 1 + 24n Add '-1' to each side of the equation. 1 + -1 + -5n = 1 + -1 + 24n Combine like terms: 1 + -1 = 0 0 + -5n = 1 + -1 + 24n -5n = 1 + -1 + 24n Combine like terms: 1 + -1 = 0 -5n = 0 + 24n -5n = 24n Solving -5n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -5n + -24n = 24n + -24n Combine like terms: -5n + -24n = -29n -29n = 24n + -24n Combine like terms: 24n + -24n = 0 -29n = 0 Divide each side by '-29'. n = 0 Simplifying n = 0
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