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Simplifying -312 = 6(7n + 5) Reorder the terms: -312 = 6(5 + 7n) -312 = (5 * 6 + 7n * 6) -312 = (30 + 42n) Solving -312 = 30 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -312 + -42n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 -312 + -42n = 30 + 0 -312 + -42n = 30 Add '312' to each side of the equation. -312 + 312 + -42n = 30 + 312 Combine like terms: -312 + 312 = 0 0 + -42n = 30 + 312 -42n = 30 + 312 Combine like terms: 30 + 312 = 342 -42n = 342 Divide each side by '-42'. n = -8.142857143 Simplifying n = -8.142857143
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