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Simplifying -18 = 9 + 7(n + -8) Reorder the terms: -18 = 9 + 7(-8 + n) -18 = 9 + (-8 * 7 + n * 7) -18 = 9 + (-56 + 7n) Combine like terms: 9 + -56 = -47 -18 = -47 + 7n Solving -18 = -47 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -18 + -7n = -47 + 7n + -7n Combine like terms: 7n + -7n = 0 -18 + -7n = -47 + 0 -18 + -7n = -47 Add '18' to each side of the equation. -18 + 18 + -7n = -47 + 18 Combine like terms: -18 + 18 = 0 0 + -7n = -47 + 18 -7n = -47 + 18 Combine like terms: -47 + 18 = -29 -7n = -29 Divide each side by '-7'. n = 4.142857143 Simplifying n = 4.142857143
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