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Simplifying 6n + 1 = 1 + 7(n + 4) Reorder the terms: 1 + 6n = 1 + 7(n + 4) Reorder the terms: 1 + 6n = 1 + 7(4 + n) 1 + 6n = 1 + (4 * 7 + n * 7) 1 + 6n = 1 + (28 + 7n) Combine like terms: 1 + 28 = 29 1 + 6n = 29 + 7n Solving 1 + 6n = 29 + 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. 1 + 6n + -7n = 29 + 7n + -7n Combine like terms: 6n + -7n = -1n 1 + -1n = 29 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + -1n = 29 + 0 1 + -1n = 29 Add '-1' to each side of the equation. 1 + -1 + -1n = 29 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 29 + -1 -1n = 29 + -1 Combine like terms: 29 + -1 = 28 -1n = 28 Divide each side by '-1'. n = -28 Simplifying n = -28
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