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Simplifying n + -3(4 + 5n) = 7n + -12 n + (4 * -3 + 5n * -3) = 7n + -12 n + (-12 + -15n) = 7n + -12 Reorder the terms: -12 + n + -15n = 7n + -12 Combine like terms: n + -15n = -14n -12 + -14n = 7n + -12 Reorder the terms: -12 + -14n = -12 + 7n Add '12' to each side of the equation. -12 + 12 + -14n = -12 + 12 + 7n Combine like terms: -12 + 12 = 0 0 + -14n = -12 + 12 + 7n -14n = -12 + 12 + 7n Combine like terms: -12 + 12 = 0 -14n = 0 + 7n -14n = 7n Solving -14n = 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. -14n + -7n = 7n + -7n Combine like terms: -14n + -7n = -21n -21n = 7n + -7n Combine like terms: 7n + -7n = 0 -21n = 0 Divide each side by '-21'. n = 0 Simplifying n = 0
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