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Simplifying 7n + 7 = 5(-5 + -5n) Reorder the terms: 7 + 7n = 5(-5 + -5n) 7 + 7n = (-5 * 5 + -5n * 5) 7 + 7n = (-25 + -25n) Solving 7 + 7n = -25 + -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. 7 + 7n + 25n = -25 + -25n + 25n Combine like terms: 7n + 25n = 32n 7 + 32n = -25 + -25n + 25n Combine like terms: -25n + 25n = 0 7 + 32n = -25 + 0 7 + 32n = -25 Add '-7' to each side of the equation. 7 + -7 + 32n = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 32n = -25 + -7 32n = -25 + -7 Combine like terms: -25 + -7 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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