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Simplifying -190 = 5n + -5(-7n + -2) Reorder the terms: -190 = 5n + -5(-2 + -7n) -190 = 5n + (-2 * -5 + -7n * -5) -190 = 5n + (10 + 35n) Reorder the terms: -190 = 10 + 5n + 35n Combine like terms: 5n + 35n = 40n -190 = 10 + 40n Solving -190 = 10 + 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. -190 + -40n = 10 + 40n + -40n Combine like terms: 40n + -40n = 0 -190 + -40n = 10 + 0 -190 + -40n = 10 Add '190' to each side of the equation. -190 + 190 + -40n = 10 + 190 Combine like terms: -190 + 190 = 0 0 + -40n = 10 + 190 -40n = 10 + 190 Combine like terms: 10 + 190 = 200 -40n = 200 Divide each side by '-40'. n = -5 Simplifying n = -5
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