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Simplifying -1n + 33 = 4 + -1(1 + 6n) Reorder the terms: 33 + -1n = 4 + -1(1 + 6n) 33 + -1n = 4 + (1 * -1 + 6n * -1) 33 + -1n = 4 + (-1 + -6n) Combine like terms: 4 + -1 = 3 33 + -1n = 3 + -6n Solving 33 + -1n = 3 + -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. 33 + -1n + 6n = 3 + -6n + 6n Combine like terms: -1n + 6n = 5n 33 + 5n = 3 + -6n + 6n Combine like terms: -6n + 6n = 0 33 + 5n = 3 + 0 33 + 5n = 3 Add '-33' to each side of the equation. 33 + -33 + 5n = 3 + -33 Combine like terms: 33 + -33 = 0 0 + 5n = 3 + -33 5n = 3 + -33 Combine like terms: 3 + -33 = -30 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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