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Simplifying 14 + -12(n + -3) = -2n + -70 Reorder the terms: 14 + -12(-3 + n) = -2n + -70 14 + (-3 * -12 + n * -12) = -2n + -70 14 + (36 + -12n) = -2n + -70 Combine like terms: 14 + 36 = 50 50 + -12n = -2n + -70 Reorder the terms: 50 + -12n = -70 + -2n Solving 50 + -12n = -70 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 50 + -12n + 2n = -70 + -2n + 2n Combine like terms: -12n + 2n = -10n 50 + -10n = -70 + -2n + 2n Combine like terms: -2n + 2n = 0 50 + -10n = -70 + 0 50 + -10n = -70 Add '-50' to each side of the equation. 50 + -50 + -10n = -70 + -50 Combine like terms: 50 + -50 = 0 0 + -10n = -70 + -50 -10n = -70 + -50 Combine like terms: -70 + -50 = -120 -10n = -120 Divide each side by '-10'. n = 12 Simplifying n = 12
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