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Simplifying 114 = -3n + -6(3n + 2) Reorder the terms: 114 = -3n + -6(2 + 3n) 114 = -3n + (2 * -6 + 3n * -6) 114 = -3n + (-12 + -18n) Reorder the terms: 114 = -12 + -3n + -18n Combine like terms: -3n + -18n = -21n 114 = -12 + -21n Solving 114 = -12 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 114 + 21n = -12 + -21n + 21n Combine like terms: -21n + 21n = 0 114 + 21n = -12 + 0 114 + 21n = -12 Add '-114' to each side of the equation. 114 + -114 + 21n = -12 + -114 Combine like terms: 114 + -114 = 0 0 + 21n = -12 + -114 21n = -12 + -114 Combine like terms: -12 + -114 = -126 21n = -126 Divide each side by '21'. n = -6 Simplifying n = -6
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