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Simplifying -13 + -1n = -7 + -6(7n + 1) Reorder the terms: -13 + -1n = -7 + -6(1 + 7n) -13 + -1n = -7 + (1 * -6 + 7n * -6) -13 + -1n = -7 + (-6 + -42n) Combine like terms: -7 + -6 = -13 -13 + -1n = -13 + -42n Add '13' to each side of the equation. -13 + 13 + -1n = -13 + 13 + -42n Combine like terms: -13 + 13 = 0 0 + -1n = -13 + 13 + -42n -1n = -13 + 13 + -42n Combine like terms: -13 + 13 = 0 -1n = 0 + -42n -1n = -42n Solving -1n = -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -1n + 42n = -42n + 42n Combine like terms: -1n + 42n = 41n 41n = -42n + 42n Combine like terms: -42n + 42n = 0 41n = 0 Divide each side by '41'. n = 0 Simplifying n = 0
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