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Simplifying -10 + 4n = -2n + -1(1 + -3n) -10 + 4n = -2n + (1 * -1 + -3n * -1) -10 + 4n = -2n + (-1 + 3n) Reorder the terms: -10 + 4n = -1 + -2n + 3n Combine like terms: -2n + 3n = 1n -10 + 4n = -1 + 1n Solving -10 + 4n = -1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -10 + 4n + -1n = -1 + 1n + -1n Combine like terms: 4n + -1n = 3n -10 + 3n = -1 + 1n + -1n Combine like terms: 1n + -1n = 0 -10 + 3n = -1 + 0 -10 + 3n = -1 Add '10' to each side of the equation. -10 + 10 + 3n = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = -1 + 10 3n = -1 + 10 Combine like terms: -1 + 10 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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