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Simplifying -6(1 + 7n) = -49 + n (1 * -6 + 7n * -6) = -49 + n (-6 + -42n) = -49 + n Solving -6 + -42n = -49 + n 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. -6 + -42n + -1n = -49 + n + -1n Combine like terms: -42n + -1n = -43n -6 + -43n = -49 + n + -1n Combine like terms: n + -1n = 0 -6 + -43n = -49 + 0 -6 + -43n = -49 Add '6' to each side of the equation. -6 + 6 + -43n = -49 + 6 Combine like terms: -6 + 6 = 0 0 + -43n = -49 + 6 -43n = -49 + 6 Combine like terms: -49 + 6 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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