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Simplifying -7 + -7n = -7(2n + -8) + -7 Reorder the terms: -7 + -7n = -7(-8 + 2n) + -7 -7 + -7n = (-8 * -7 + 2n * -7) + -7 -7 + -7n = (56 + -14n) + -7 Reorder the terms: -7 + -7n = 56 + -7 + -14n Combine like terms: 56 + -7 = 49 -7 + -7n = 49 + -14n Solving -7 + -7n = 49 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -7 + -7n + 14n = 49 + -14n + 14n Combine like terms: -7n + 14n = 7n -7 + 7n = 49 + -14n + 14n Combine like terms: -14n + 14n = 0 -7 + 7n = 49 + 0 -7 + 7n = 49 Add '7' to each side of the equation. -7 + 7 + 7n = 49 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 49 + 7 7n = 49 + 7 Combine like terms: 49 + 7 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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