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Simplifying -192 = 5(-7 + -5n) + -7 -192 = (-7 * 5 + -5n * 5) + -7 -192 = (-35 + -25n) + -7 Reorder the terms: -192 = -35 + -7 + -25n Combine like terms: -35 + -7 = -42 -192 = -42 + -25n Solving -192 = -42 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -192 + 25n = -42 + -25n + 25n Combine like terms: -25n + 25n = 0 -192 + 25n = -42 + 0 -192 + 25n = -42 Add '192' to each side of the equation. -192 + 192 + 25n = -42 + 192 Combine like terms: -192 + 192 = 0 0 + 25n = -42 + 192 25n = -42 + 192 Combine like terms: -42 + 192 = 150 25n = 150 Divide each side by '25'. n = 6 Simplifying n = 6
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