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Simplifying 12 + 6n + -33 = n + 7 + -2n Reorder the terms: 12 + -33 + 6n = n + 7 + -2n Combine like terms: 12 + -33 = -21 -21 + 6n = n + 7 + -2n Reorder the terms: -21 + 6n = 7 + n + -2n Combine like terms: n + -2n = -1n -21 + 6n = 7 + -1n Solving -21 + 6n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + 6n + n = 7 + -1n + n Combine like terms: 6n + n = 7n -21 + 7n = 7 + -1n + n Combine like terms: -1n + n = 0 -21 + 7n = 7 + 0 -21 + 7n = 7 Add '21' to each side of the equation. -21 + 21 + 7n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 7n = 7 + 21 7n = 7 + 21 Combine like terms: 7 + 21 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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