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Simplifying -35 + -1n = 6(1 + 7n) + -2n -35 + -1n = (1 * 6 + 7n * 6) + -2n -35 + -1n = (6 + 42n) + -2n Combine like terms: 42n + -2n = 40n -35 + -1n = 6 + 40n Solving -35 + -1n = 6 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -35 + -1n + -40n = 6 + 40n + -40n Combine like terms: -1n + -40n = -41n -35 + -41n = 6 + 40n + -40n Combine like terms: 40n + -40n = 0 -35 + -41n = 6 + 0 -35 + -41n = 6 Add '35' to each side of the equation. -35 + 35 + -41n = 6 + 35 Combine like terms: -35 + 35 = 0 0 + -41n = 6 + 35 -41n = 6 + 35 Combine like terms: 6 + 35 = 41 -41n = 41 Divide each side by '-41'. n = -1 Simplifying n = -1
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