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Simplifying 12(1 + -5n) = -4 + 2(-12n + -10) (1 * 12 + -5n * 12) = -4 + 2(-12n + -10) (12 + -60n) = -4 + 2(-12n + -10) Reorder the terms: 12 + -60n = -4 + 2(-10 + -12n) 12 + -60n = -4 + (-10 * 2 + -12n * 2) 12 + -60n = -4 + (-20 + -24n) Combine like terms: -4 + -20 = -24 12 + -60n = -24 + -24n Solving 12 + -60n = -24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 12 + -60n + 24n = -24 + -24n + 24n Combine like terms: -60n + 24n = -36n 12 + -36n = -24 + -24n + 24n Combine like terms: -24n + 24n = 0 12 + -36n = -24 + 0 12 + -36n = -24 Add '-12' to each side of the equation. 12 + -12 + -36n = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -36n = -24 + -12 -36n = -24 + -12 Combine like terms: -24 + -12 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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