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Simplifying -37 + -7n = -6(1 + -4n) -37 + -7n = (1 * -6 + -4n * -6) -37 + -7n = (-6 + 24n) Solving -37 + -7n = -6 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -37 + -7n + -24n = -6 + 24n + -24n Combine like terms: -7n + -24n = -31n -37 + -31n = -6 + 24n + -24n Combine like terms: 24n + -24n = 0 -37 + -31n = -6 + 0 -37 + -31n = -6 Add '37' to each side of the equation. -37 + 37 + -31n = -6 + 37 Combine like terms: -37 + 37 = 0 0 + -31n = -6 + 37 -31n = -6 + 37 Combine like terms: -6 + 37 = 31 -31n = 31 Divide each side by '-31'. n = -1 Simplifying n = -1
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