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Simplifying -33 + -1n = 3(2n + 1) Reorder the terms: -33 + -1n = 3(1 + 2n) -33 + -1n = (1 * 3 + 2n * 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 = -7n -33 + -7n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -33 + -7n = 3 + 0 -33 + -7n = 3 Add '33' to each side of the equation. -33 + 33 + -7n = 3 + 33 Combine like terms: -33 + 33 = 0 0 + -7n = 3 + 33 -7n = 3 + 33 Combine like terms: 3 + 33 = 36 -7n = 36 Divide each side by '-7'. n = -5.142857143 Simplifying n = -5.142857143
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