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Simplifying -38 + -5n = -5(-7n + -7) + 7 Reorder the terms: -38 + -5n = -5(-7 + -7n) + 7 -38 + -5n = (-7 * -5 + -7n * -5) + 7 -38 + -5n = (35 + 35n) + 7 Reorder the terms: -38 + -5n = 35 + 7 + 35n Combine like terms: 35 + 7 = 42 -38 + -5n = 42 + 35n Solving -38 + -5n = 42 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -38 + -5n + -35n = 42 + 35n + -35n Combine like terms: -5n + -35n = -40n -38 + -40n = 42 + 35n + -35n Combine like terms: 35n + -35n = 0 -38 + -40n = 42 + 0 -38 + -40n = 42 Add '38' to each side of the equation. -38 + 38 + -40n = 42 + 38 Combine like terms: -38 + 38 = 0 0 + -40n = 42 + 38 -40n = 42 + 38 Combine like terms: 42 + 38 = 80 -40n = 80 Divide each side by '-40'. n = -2 Simplifying n = -2
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