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Simplifying -3(12n + 2) + 4 = n + -2 Reorder the terms: -3(2 + 12n) + 4 = n + -2 (2 * -3 + 12n * -3) + 4 = n + -2 (-6 + -36n) + 4 = n + -2 Reorder the terms: -6 + 4 + -36n = n + -2 Combine like terms: -6 + 4 = -2 -2 + -36n = n + -2 Reorder the terms: -2 + -36n = -2 + n Add '2' to each side of the equation. -2 + 2 + -36n = -2 + 2 + n Combine like terms: -2 + 2 = 0 0 + -36n = -2 + 2 + n -36n = -2 + 2 + n Combine like terms: -2 + 2 = 0 -36n = 0 + n -36n = n Solving -36n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -36n + -1n = n + -1n Combine like terms: -36n + -1n = -37n -37n = n + -1n Combine like terms: n + -1n = 0 -37n = 0 Divide each side by '-37'. n = 0 Simplifying n = 0
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