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Simplifying -6 + -3n = 4n + -6(1 + 7n) -6 + -3n = 4n + (1 * -6 + 7n * -6) -6 + -3n = 4n + (-6 + -42n) Reorder the terms: -6 + -3n = -6 + 4n + -42n Combine like terms: 4n + -42n = -38n -6 + -3n = -6 + -38n Add '6' to each side of the equation. -6 + 6 + -3n = -6 + 6 + -38n Combine like terms: -6 + 6 = 0 0 + -3n = -6 + 6 + -38n -3n = -6 + 6 + -38n Combine like terms: -6 + 6 = 0 -3n = 0 + -38n -3n = -38n Solving -3n = -38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38n' to each side of the equation. -3n + 38n = -38n + 38n Combine like terms: -3n + 38n = 35n 35n = -38n + 38n Combine like terms: -38n + 38n = 0 35n = 0 Divide each side by '35'. n = 0 Simplifying n = 0
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