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Simplifying -39 + 3n = 7(5n + -1) Reorder the terms: -39 + 3n = 7(-1 + 5n) -39 + 3n = (-1 * 7 + 5n * 7) -39 + 3n = (-7 + 35n) Solving -39 + 3n = -7 + 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. -39 + 3n + -35n = -7 + 35n + -35n Combine like terms: 3n + -35n = -32n -39 + -32n = -7 + 35n + -35n Combine like terms: 35n + -35n = 0 -39 + -32n = -7 + 0 -39 + -32n = -7 Add '39' to each side of the equation. -39 + 39 + -32n = -7 + 39 Combine like terms: -39 + 39 = 0 0 + -32n = -7 + 39 -32n = -7 + 39 Combine like terms: -7 + 39 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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