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Simplifying -1n + -37 = -7(-7 + -6n) Reorder the terms: -37 + -1n = -7(-7 + -6n) -37 + -1n = (-7 * -7 + -6n * -7) -37 + -1n = (49 + 42n) Solving -37 + -1n = 49 + 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. -37 + -1n + -42n = 49 + 42n + -42n Combine like terms: -1n + -42n = -43n -37 + -43n = 49 + 42n + -42n Combine like terms: 42n + -42n = 0 -37 + -43n = 49 + 0 -37 + -43n = 49 Add '37' to each side of the equation. -37 + 37 + -43n = 49 + 37 Combine like terms: -37 + 37 = 0 0 + -43n = 49 + 37 -43n = 49 + 37 Combine like terms: 49 + 37 = 86 -43n = 86 Divide each side by '-43'. n = -2 Simplifying n = -2
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