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Simplifying -1n + 34 = 6(n + 1) Reorder the terms: 34 + -1n = 6(n + 1) Reorder the terms: 34 + -1n = 6(1 + n) 34 + -1n = (1 * 6 + n * 6) 34 + -1n = (6 + 6n) Solving 34 + -1n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 34 + -1n + -6n = 6 + 6n + -6n Combine like terms: -1n + -6n = -7n 34 + -7n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 34 + -7n = 6 + 0 34 + -7n = 6 Add '-34' to each side of the equation. 34 + -34 + -7n = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -7n = 6 + -34 -7n = 6 + -34 Combine like terms: 6 + -34 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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