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Simplifying 6n + -5 = 1 + 7(n + 6) Reorder the terms: -5 + 6n = 1 + 7(n + 6) Reorder the terms: -5 + 6n = 1 + 7(6 + n) -5 + 6n = 1 + (6 * 7 + n * 7) -5 + 6n = 1 + (42 + 7n) Combine like terms: 1 + 42 = 43 -5 + 6n = 43 + 7n Solving -5 + 6n = 43 + 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. -5 + 6n + -7n = 43 + 7n + -7n Combine like terms: 6n + -7n = -1n -5 + -1n = 43 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -1n = 43 + 0 -5 + -1n = 43 Add '5' to each side of the equation. -5 + 5 + -1n = 43 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 43 + 5 -1n = 43 + 5 Combine like terms: 43 + 5 = 48 -1n = 48 Divide each side by '-1'. n = -48 Simplifying n = -48
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